%!PS-Adobe-2.0
%%Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software
%%Title: /home/hencl/math/new/Odeslane/HKZ/together2.dvi
%%Pages: 23
%%PageOrder: Ascend
%%BoundingBox: 0 0 596 842
%%DocumentFonts: CMBX12 CMR10 CMCSC10 CMMI10 CMMI7 CMR12 CMTI12 MSBM10
%%+ CMMI8 CMMI12 CMSY10 CMR8 CMTI10 CMR9 CMEX10 CMSY8 CMR6 CMMI6 MSBM7
%%+ TeX-cmex8 MSAM10 CMSY6 CMBX10 CMTT10
%%EndComments
%DVIPSWebPage: (www.radicaleye.com)
%DVIPSCommandLine: dvips -z
%+ /home/hencl/math/new/Odeslane/HKZ/together2.dvi -o
%+ /home/hencl/math/new/Odeslane/HKZ/HKZ.ps
%DVIPSParameters: dpi=600, compressed
%DVIPSSource: TeX output 2004.12.16:1301
%%BeginProcSet: texc.pro
%!
/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72
mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0
0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{
landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize
mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[
matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round
exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{
statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0]
N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin
/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array
/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2
array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N
df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A
definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr
1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3
1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx
0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx
sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{
rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp
gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B
/chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{
/cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{
A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy
get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse}
ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp
fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17
{2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add
chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{
1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop}
forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N
/p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{
/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)
(LaserWriter 16/600)]{A length product length le{A length product exch 0
exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse
end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask
grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot}
imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round
exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto
fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p
delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M}
B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{
p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S
rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end
%%EndProcSet
%%BeginProcSet: f7b6d320.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
% cmb10 cmbx10 cmbx12 cmbx5 cmbx6 cmbx7 cmbx8 cmbx9 cmbxsl10
% cmdunh10 cmr10 cmr12 cmr17cmr6 cmr7 cmr8 cmr9 cmsl10 cmsl12 cmsl8
% cmsl9 cmss10cmss12 cmss17 cmss8 cmss9 cmssbx10 cmssdc10 cmssi10
% cmssi12 cmssi17 cmssi8cmssi9 cmssq8 cmssqi8 cmvtt10
%
/TeXf7b6d320Encoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute /caron /breve
/macron /ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash
/suppress /exclam /quotedblright /numbersign /dollar /percent /ampersand
/quoteright /parenleft /parenright /asterisk /plus /comma /hyphen
/period /slash /zero /one /two /three /four /five /six /seven /eight
/nine /colon /semicolon /exclamdown /equal /questiondown /question /at
/A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X
/Y /Z /bracketleft /quotedblleft /bracketright /circumflex /dotaccent
/quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u
/v /w /x /y /z /endash /emdash /hungarumlaut /tilde /dieresis /suppress
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef
/.notdef /Omega /ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute
/caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE
/OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def
%%EndProcSet
%%BeginProcSet: 0ef0afca.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
% cmr5
%
/TeX0ef0afcaEncoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/arrowup /arrowdown /quotesingle /exclamdown /questiondown /dotlessi
/dotlessj /grave /acute /caron /breve /macron /ring /cedilla /germandbls
/ae /oe /oslash /AE /OE /Oslash /suppress /exclam /quotedblright
/numbersign /dollar /percent /ampersand /quoteright /parenleft
/parenright /asterisk /plus /comma /hyphen /period /slash /zero /one
/two /three /four /five /six /seven /eight /nine /colon /semicolon
/less /equal /greater /question /at /A /B /C /D /E /F /G /H /I /J /K
/L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /quotedblleft
/bracketright /circumflex /dotaccent /quoteleft /a /b /c /d /e /f /g /h
/i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z /endash /emdash
/hungarumlaut /tilde /dieresis /suppress /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /space /Gamma /Delta /Theta /Lambda
/Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef /.notdef /Omega /arrowup
/arrowdown /quotesingle /exclamdown /questiondown /dotlessi /dotlessj
/grave /acute /caron /breve /macron /ring /cedilla /germandbls /ae /oe
/oslash /AE /OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def
%%EndProcSet
%%BeginProcSet: aae443f0.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
% cmmi10 cmmi12 cmmi5 cmmi6 cmmi7 cmmi8 cmmi9 cmmib10
%
/TeXaae443f0Encoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/alpha /beta /gamma /delta /epsilon1 /zeta /eta /theta /iota /kappa
/lambda /mu /nu /xi /pi /rho /sigma /tau /upsilon /phi /chi /psi
/omega /epsilon /theta1 /pi1 /rho1 /sigma1 /phi1 /arrowlefttophalf
/arrowleftbothalf /arrowrighttophalf /arrowrightbothalf /arrowhookleft
/arrowhookright /triangleright /triangleleft /zerooldstyle /oneoldstyle
/twooldstyle /threeoldstyle /fouroldstyle /fiveoldstyle /sixoldstyle
/sevenoldstyle /eightoldstyle /nineoldstyle /period /comma /less /slash
/greater /star /partialdiff /A /B /C /D /E /F /G /H /I /J /K /L /M /N
/O /P /Q /R /S /T /U /V /W /X /Y /Z /flat /natural /sharp /slurbelow
/slurabove /lscript /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p
/q /r /s /t /u /v /w /x /y /z /dotlessi /dotlessj /weierstrass /vector
/tie /psi /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/space /Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi
/.notdef /.notdef /Omega /alpha /beta /gamma /delta /epsilon1 /zeta /eta
/theta /iota /kappa /lambda /mu /nu /xi /pi /rho /sigma /tau /upsilon
/phi /chi /psi /tie /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef
] def
%%EndProcSet
%%BeginProcSet: 74afc74c.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
% cmbxti10 cmff10 cmfi10 cmfib8 cmti10 cmti12 cmti7 cmti8cmti9 cmu10
%
/TeX74afc74cEncoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /Omega
/ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute /caron /breve
/macron /ring /cedilla /germandbls /ae /oe /oslash /AE /OE /Oslash
/suppress /exclam /quotedblright /numbersign /sterling /percent
/ampersand /quoteright /parenleft /parenright /asterisk /plus /comma
/hyphen /period /slash /zero /one /two /three /four /five /six /seven
/eight /nine /colon /semicolon /exclamdown /equal /questiondown /question
/at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W
/X /Y /Z /bracketleft /quotedblleft /bracketright /circumflex /dotaccent
/quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u
/v /w /x /y /z /endash /emdash /hungarumlaut /tilde /dieresis /suppress
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi /.notdef
/.notdef /Omega /ff /fi /fl /ffi /ffl /dotlessi /dotlessj /grave /acute
/caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE
/OE /Oslash /suppress /dieresis /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def
%%EndProcSet
%%BeginProcSet: bbad153f.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
% cmsy10 cmsy5 cmsy6 cmsy7 cmsy8 cmsy9
%
/TeXbbad153fEncoding [
/minus /periodcentered /multiply /asteriskmath /divide /diamondmath
/plusminus /minusplus /circleplus /circleminus /circlemultiply
/circledivide /circledot /circlecopyrt /openbullet /bullet
/equivasymptotic /equivalence /reflexsubset /reflexsuperset /lessequal
/greaterequal /precedesequal /followsequal /similar /approxequal
/propersubset /propersuperset /lessmuch /greatermuch /precedes /follows
/arrowleft /arrowright /arrowup /arrowdown /arrowboth /arrownortheast
/arrowsoutheast /similarequal /arrowdblleft /arrowdblright /arrowdblup
/arrowdbldown /arrowdblboth /arrownorthwest /arrowsouthwest /proportional
/prime /infinity /element /owner /triangle /triangleinv /negationslash
/mapsto /universal /existential /logicalnot /emptyset /Rfractur /Ifractur
/latticetop /perpendicular /aleph /A /B /C /D /E /F /G /H /I /J /K
/L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /union /intersection
/unionmulti /logicaland /logicalor /turnstileleft /turnstileright
/floorleft /floorright /ceilingleft /ceilingright /braceleft /braceright
/angbracketleft /angbracketright /bar /bardbl /arrowbothv /arrowdblbothv
/backslash /wreathproduct /radical /coproduct /nabla /integral
/unionsq /intersectionsq /subsetsqequal /supersetsqequal /section
/dagger /daggerdbl /paragraph /club /diamond /heart /spade /arrowleft
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/minus /periodcentered /multiply /asteriskmath /divide /diamondmath
/plusminus /minusplus /circleplus /circleminus /.notdef /.notdef
/circlemultiply /circledivide /circledot /circlecopyrt /openbullet
/bullet /equivasymptotic /equivalence /reflexsubset /reflexsuperset
/lessequal /greaterequal /precedesequal /followsequal /similar
/approxequal /propersubset /propersuperset /lessmuch /greatermuch
/precedes /follows /arrowleft /spade /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def
%%EndProcSet
%%BeginProcSet: 09fbbfac.enc
% Thomas Esser, Dec 2002. public domain
%
% Encoding for:
% cmsltt10 cmtt10 cmtt12 cmtt8 cmtt9
/TeX09fbbfacEncoding [
/Gamma /Delta /Theta /Lambda /Xi /Pi /Sigma /Upsilon /Phi /Psi
/Omega /arrowup /arrowdown /quotesingle /exclamdown /questiondown
/dotlessi /dotlessj /grave /acute /caron /breve /macron /ring /cedilla
/germandbls /ae /oe /oslash /AE /OE /Oslash /visiblespace /exclam
/quotedbl /numbersign /dollar /percent /ampersand /quoteright /parenleft
/parenright /asterisk /plus /comma /hyphen /period /slash /zero /one
/two /three /four /five /six /seven /eight /nine /colon /semicolon /less
/equal /greater /question /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N
/O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /backslash /bracketright
/asciicircum /underscore /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l
/m /n /o /p /q /r /s /t /u /v /w /x /y /z /braceleft /bar /braceright
/asciitilde /dieresis /visiblespace /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /space /Gamma /Delta /Theta /Lambda /Xi /Pi
/Sigma /Upsilon /Phi /Psi /.notdef /.notdef /Omega /arrowup /arrowdown
/quotesingle /exclamdown /questiondown /dotlessi /dotlessj /grave /acute
/caron /breve /macron /ring /cedilla /germandbls /ae /oe /oslash /AE
/OE /Oslash /visiblespace /dieresis /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
/.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef
] def
%%EndProcSet
%%BeginProcSet: texps.pro
%!
TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2
index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll
exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0
ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{
pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 get div Metrics 0 get
div def}ifelse}forall Metrics/Metrics currentdict end def}{{1 index type
/nametype eq{exit}if exch pop}loop}ifelse[2 index currentdict end
definefont 3 -1 roll makefont/setfont cvx]cvx def}def/ObliqueSlant{dup
sin S cos div neg}B/SlantFont{4 index mul add}def/ExtendFont{3 -1 roll
mul exch}def/ReEncodeFont{CharStrings rcheck{/Encoding false def dup[
exch{dup CharStrings exch known not{pop/.notdef/Encoding true def}if}
forall Encoding{]exch pop}{cleartomark}ifelse}if/Encoding exch def}def
end
%%EndProcSet
%%BeginProcSet: hps.pro
%!
/HPSdict 20 dict dup begin/braindeaddistill 50 def/rfch{dup length 1 sub
1 exch getinterval}bind def/splituri{dup(#)search{exch pop}{()exch}
ifelse dup(file:)anchorsearch{pop exch pop 3 -1 roll pop false}{pop 3 -1
roll exch pop true}ifelse}bind def/lookuptarget{exch rfch dup
/TargetAnchors where{pop TargetAnchors dup 3 -1 roll known{exch get true
}{pop(target unknown:)print == false}ifelse}{pop pop
(target dictionary unknown\012)print false}ifelse}bind def/savecount 0
def/stackstopped{count counttomark sub/savecount exch store stopped
count savecount sub 1 sub dup 0 gt{{exch pop}repeat}{pop}ifelse}bind def
/tempstring 256 string def/targetvalidate{1 index dup length 255 gt exch
dup(/)search{pop pop pop exch pop true exch}{pop}ifelse cvn tempstring
cvs token pop pop length 0 ne or not}bind def/targetdump-hook where{pop}
{/targetdump-hook{dup mark exch gsave initmat setmatrix{{mark/Dest 4 2
roll targetvalidate{aload pop exch pop/Page 3 1 roll/View exch[exch
/FitH exch]/DEST pdfmark}{cleartomark}ifelse}forall}stackstopped pop
grestore}bind def}ifelse/baseurl{mark exch 1 dict dup 3 -1 roll/Base
exch put/URI exch/DOCVIEW{pdfmark}stackstopped pop}bind def
/externalhack systemdict/PDF known def/oldstyle true def/initmat matrix
currentmatrix def/actiondict 2 dict dup/Subtype/URI put def
/weblinkhandler{dup 3 1 roll mark 4 1 roll/Title 4 1 roll splituri 3 -1
roll dup length 0 gt{cvn/Dest exch 4 2 roll}{pop}ifelse{externalhack{
/HTTPFile exch}{actiondict dup 3 -1 roll/URI exch put/Action exch}
ifelse}{externalhack{/HTTPFile exch}{/File exch/Action/GoToR}ifelse}
ifelse counttomark 2 sub -1 roll aload pop/Rect 4 1 roll/Border 3 1 roll
/Color exch oldstyle{/LNK}{/Subtype/Link/ANN}ifelse gsave initmat
setmatrix{pdfmark}stackstopped grestore}bind def/externalhandler where{
pop}{/externalhandler{2 copy{weblinkhandler}exec{/externalhack
externalhack not store 2 copy{weblinkhandler}exec{/externalhack
externalhack not store/oldstyle false store 2 copy{weblinkhandler}exec{
(WARNING: external refs disabled\012)print/externalhandler{pop pop}bind
store externalhandler}{pop pop}ifelse}{pop pop/externalhack externalhack
not store}ifelse}{pop pop/externalhandler{weblinkhandler pop}bind store}
ifelse}bind def}ifelse/pdfmnew{dup type/stringtype eq{externalhandler}{
exch dup rfch exch 3 -1 roll lookuptarget{mark 4 1 roll/Title 4 1 roll
aload pop exch pop/Page 3 1 roll/View exch[exch/FitH exch]5 -1 roll
aload pop/Rect 4 1 roll/Border 3 1 roll/Color exch/LNK gsave initmat
setmatrix pdfmark grestore}{pop pop}ifelse}ifelse}bind def/pdfmold{dup
type/stringtype eq{externalhandler}{exch dup rfch exch 3 -1 roll
lookuptarget{mark 4 1 roll/Title 4 1 roll aload pop exch pop/Page 3 1
roll/View exch[exch/FitH exch]5 -1 roll aload pop pop 0 3 getinterval
/Rect 3 1 roll/Border exch/LNK gsave initmat setmatrix pdfmark grestore}
{pop pop}ifelse}ifelse}bind def/pdfm where{pop}{/pdfm
/currentdistillerparams where{pop currentdistillerparams dup
/CoreDistVersion known{/CoreDistVersion get}{0}ifelse dup
braindeaddistill le{(WARNING: switching to old pdfm because version =)
print ==/pdfmold}{pop/pdfmnew}ifelse load}{/pdfmark where{pop{dup type
/stringtype eq{externalhandler}{2 copy mark 3 1 roll{pdfmnew}
stackstopped{2 copy mark 3 1 roll{pdfmold}stackstopped{
(WARNING: pdfm disabled\012)print/pdfm{pop pop}store}{
(WARNING: new pdfm failed, switching to old pdfm\012)print/pdfm/pdfmold
load store}ifelse}{/pdfm/pdfmnew load store}ifelse pop pop}ifelse}}{{
pop pop}}ifelse}ifelse bind def}ifelse end def
%%EndProcSet
%%BeginFont: CMTT10
%!PS-AdobeFont-1.1: CMTT10 1.00B
%%CreationDate: 1992 Apr 26 10:42:42
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTT10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch true def
end readonly def
/FontName /CMTT10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-4 -235 731 800}readonly def
/UniqueID 5000832 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5000820 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964
7D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4
A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85
E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A
221A37D9A807DD01161779DDE7D31FF2B87F97C73D63EECDDA4C49501773468A
27D1663E0B62F461F6E40A5D6676D1D12B51E641C1D4E8E2771864FC104F8CBF
5B78EC1D88228725F1C453A678F58A7E1B7BD7CA700717D288EB8DA1F57C4F09
0ABF1D42C5DDD0C384C7E22F8F8047BE1D4C1CC8E33368FB1AC82B4E96146730
DE3302B2E6B819CB6AE455B1AF3187FFE8071AA57EF8A6616B9CB7941D44EC7A
71A7BB3DF755178D7D2E4BB69859EFA4BBC30BD6BB1531133FD4D9438FF99F09
4ECC068A324D75B5F696B8688EEB2F17E5ED34CCD6D047A4E3806D000C199D7C
515DB70A8D4F6146FE068DC1E5DE8BC57034FFF80CBE86DD09B724B3539A82A7
A8A84C947CB592B05989BC3F478C0F438CF290049C875A46953A2661429AD219
12846FFEEFEA78A9C2436E18F92481B4A05E9481916C2CE893837A19337564DD
FBB3C22A7A09775A5F3107F043EFD1F752A8B595D1DBCED9F405D4EC63F663AD
65EDA6EE256A96AA2B43F931B6C6085DEB90EC20F3223333D1F7BF3D052CC39B
3F9AA7711D13BE9EC2FFB78F531449D3D4448DE9AA7038EF0052A9DC98006CFE
DE2A2CA6490CE3D56DE34EEC011903E241F69CF6454AD91C6F18DDB69448AAA5
547EC26212481F32520C7158FEF2772643FC37EC05AF83CDAB70E92210DC4369
734DD3B9DD026FEB21E21EEF426F1C23FE8A70DE937E76108CCEC3B070B76C9E
A4B06F89E628BBFE6AA53AD4C48B5035C1E4C3E90D64DA35EBDCC632AB1D758B
05AA34A369B24D0E60099738035565A32331173CB80033A14E02607752D3881D
CCD3388F425856829E6D5AC6D5C9C02A0891FCBAF025FD3FDF80A6E26B3A3CB6
7286B12E4B84B5E10526102EBD56D762D33E0CCEBACF4D24B6474BB3B15888BB
A7B757EDFCCDC1BC8B8041371B71223CB55BE03677847A1B871F399D78420362
972EF040CA4E694906D29D3AB371401728152686263B5E3D1CDB0358A834E0FB
83AFD397CF8B219F42979500FDDBF447763DBEADD585889679DA9D0164C3F86D
0AD5C5BB903B21E053924D040C894C54A61788E5E56A520E67B7E0AFF456DC19
0743C01AA30444B28A8CB69F148F705DFA7EE3848853E57312ABDBD46B1F041A
44DB67221CEEAC511887FFC539383077EF5FEC5D70BC1CBE0C3F9C842D4BCD0A
CBE5D08B963E8CD5D221C509A13B02A02F89AC34F6E0F3A6925660B5A09EAF53
9F15C466509AE583ACD2512A5130CF6E56AF15F796659343144D4F337AC1D876
13B1457AE99ED604438221FC1AB08354B11B772FB10254705C28790265CF2CC6
B08A124CF0207CB6718CC8A1A295C2E7EF52DBDA7C21D858E7444D2AB57D00D8
47767B90259E9F67A214CC4A76D39C28E62CFDC406623A80B7FD18CA0C28D3FE
17E8740BB2858FDB98FB3E04453F9771E9915CE5B0696A1197B5DF7EEBC33C37
1374EE97CB45CA0921183B21BAA1CA03FFF310B94B0472E2EA1E1902DBDBA3EF
8DB22B7E0D21536A85B3DCB8417D535013530C0806D9C0CF8429568B1FAE06A5
E8F09FCD59FCAF12C1344F563E94060F1B3A122B9F2F7617920CD565E1043CC6
4EA81CE18F8B9E6ABAA8D3CDCF168F59A8C1F3AD051B0C8B68EA50F008327A30
C1EB7ABF5AB9C53255C261B167C10A1AD40B86165D59A6A184B915022C7CEB59
1571A4ED1C73CAB04907B850B62B3CB7329FD02D0A04E30057B8A2180052D519
EA530899CB5DA2A6A798AC3B11A99B9686E8D424AC88592AE900DD15F9C05FEC
242196DEC66BCD9E78F02985959358E0F5F5073F881B5F4F6F4AFD66D10A8963
4BF1119C7FA4A41B82024C9FCB82BF26A13C005549E95E56B2743095532BE689
6A0ED690DE51CFBAAF795D1AB907F1D55E728411AE69E4821FBC1C1C2D08E4CE
D1F23B82C9BF22783FD810B38888E64C2B6421CC56FBFA749391B1D33A9C1F8A
406A696FF99DEFBD41A542DBE072D2F0ED21361C44E73F74C55D17A2A924BF67
59C539D77AAF4E1472E4B1B841D192CFD7AA42E664E0C0D4A3EB885C0AB6240B
D8940C0641DAE512E28A029684BBC784CE1A848B215A0522C43A2087F77D1600
B56AC2514A54FF14135E5D8BDF48C210EC4B236517CFB83CE8B0A28C9795B4A4
D7BF5146832244A49EB2325F447C44A593D35A75500499F0F724C19E3D0FC1BC
163A55B39451155173B2E2D4E9614E951D9FFC7FE67E297E27280A2560FB8DDE
B64EFA0EEE9A398A62C40DFDDE101E850F31D99F3C449E71F931DE765EDB370E
AC8EC2237BD19D8C5D4D0622AFF2DE824302149940098A13F1C603878E015EC4
55E438AA524B01DB1BEBDF713D32141077710893C5C23FE35259FD100AD09E65
FE746C6EF81D10F2EFDD615D86A6E2691A329809A1431E49099B1BBD741838D6
6D8FEFC3FD8F6BD58F6732A0EB3627499D5D9BE5F28A49376B3D406A37893894
BE904FEC5A48A0B269CBA092A2723FFF2AC1EEB1830310A1C5951D059D6B25A4
B87E591867221FD00E12B1EE1C6E112832941AF30FF5551CE692E6466733A9C2
884584C786828D4CE97AB0FC949D35CF30070A58CE347F01497FA04E0D2C08DA
0D15A97BA4874CBD0A1A14C60CA200455F17A2A6D9AB181D3558B6E3697A80B3
0E8D41A1FB5AD113B5A0BFC651C1C26A3DF6086FB0CC4E5B6FA10CCADAF8E06F
9AB060031FE83758DD22CD752A1254907D7A4D28B910F96AD5A9A23687A1B146
F04E6C16908CA3CE92392FE2E24C21A1DDBCEC95135BEDA7FE28BE7BBF831789
5294DB702B9FDAC356C9337E59DFA307943EDAD1D746EF17BC386C31C3813202
D6600556742CE371FF0DB46E352E7C7D05DCBDDC98029343D3539CABB5933161
F24884C38E61347BBD83B55C3039DED44CF53DE8ABBB3C8A4B9A2DA1618B0811
F1E8E7B8F028DED83CE1721B3FF886170E2E35BCE58A1F1E5D4AE343C12D0F41
A3FBE904D082DE68478CE9165D469FFBFFB17C5BFCF763C0313F3E3DE7CB3D18
0FDC4CC17B633064B83CD5F28EBD1F1EC5AC1F6C14B06175A504091174D36660
0070140AD63265F6D21202FF0705E27B416F744960856A32EDD972CE5D799008
70E910F9A8BAF171F107AE16B919756DE3AF1FD1BB0ED4FE8E5963902A70C34F
F7F6AE1BC12A7A01BE1A0C10FEF92C34746E1E5549CC9D238D242CD87CF831A7
D525C46D4307FA8357F2C41A19BCEC7475774B10D16C6195FD119FC1976337EB
D20BCEBF6EF48BA7781239FAF5F80610F1E1E66662169CB64616C3BFD27505C7
4D305087C59241ACB03839DC015674B14C6A3177735BF56CB6E5137635BC74FF
862093575D4528D2BE7D3394CFA0F5793D451691052192C65EE7F68D569A95A9
E4893A2E2493D9D5EB5B631734A3BB3F16EDCDF440DC8F9A15D7D1954BECDEE4
C9D359F0E21D9F813846089D878473CFC3B3A54DC49124F04A5CA6F552E6DA82
82884469DC7E5AD3AD0D87E7956A2AA2292CF348298048241B74BF239D44217E
89EBD8F0E3BACCD1B4FB4C12DD49D3230FE25FF7006BF5846349E96A5643CC7F
2D3F57A979E0419089DE6F219B5069CA77FAA2126ADA38405E235B5301B41634
CD40A007E37EC3D3254DC347E95FFE2DC24763BE0653E885169884858D0F9C98
D42E7BE5D40C769DD4CA37B0FB371E6BE72EE19C0541879F647A4E09D67A2450
96D3F8134D0A16F6B88AE7AD8EDDD01F446B4F328C46E7AD228A7A7DB3EF359D
2DAFC944822D14DED8E92035BB4D2D251559F7AD2CE32E975019312B508C64BD
F2DC35E61807C17EC2B5C076639EC60B94BF00B9B3E11D74E58583897BAD873C
2EABEA472BE1A0E5A31BB974793B1FC65D0767ABCC01D1338CC8869A2F2723FD
09CF944E248F402ABE6C254B75523DC982D66DC72808F42C45D0AD9BBE9A8F97
9125D46FD366791F2D71672CE39FA51A174E9F043D18BDAF6DC5B27713648B17
99EDF34A964133F68C02D6581524C6A737AE03C53613766794A8D9E98D20A857
1826B0F6
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
/UniqueID 5000768 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMSY6
%!PS-AdobeFont-1.1: CMSY6 1.0
%%CreationDate: 1991 Aug 15 07:21:34
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-4 -948 1329 786}readonly def
/UniqueID 5000816 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: MSAM10
%!PS-AdobeFont-1.1: MSAM10 2.1
%%CreationDate: 1993 Sep 17 09:05:00
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSAM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSAM10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 3 /square put
readonly def
/FontBBox{8 -463 1331 1003}readonly def
/UniqueID 5031981 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: TeX-cmex8
%!PS-AdobeFont-1.0: TeX-cmex8 001.001
% Filtered by type1fix.pl 0.05
%%EndComments
13 dict dup begin
/FontInfo 16 dict dup begin
/Copyright (see\040copyright\040of\040original\040TeX\040font) def
/FamilyName (TeX\040cmex8) def
/FullName (TeX\040cmex8\040Regular) def
/ItalicAngle 0 def
/Notice (converted\040after\040April\0402001) def
/UnderlinePosition -100 def
/UnderlineThickness 50 def
/Weight (Regular) def
/isFixedPitch false def
/version (001.001) def
end readonly def
/FontName /TeX-cmex8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 82 /R put
readonly def
/FontBBox {-29 -2957 1554 772} readonly def
/UniqueID 4314416 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: MSBM7
%!PS-AdobeFont-1.1: MSBM7 2.1
%%CreationDate: 1992 Oct 17 08:30:50
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSBM7) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSBM7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 82 /R put
readonly def
/FontBBox{0 -504 2615 1004}readonly def
/UniqueID 5032014 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMMI6
%!PS-AdobeFont-1.1: CMMI6 1.100
%%CreationDate: 1996 Jul 23 07:53:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{11 -250 1241 750}readonly def
/UniqueID 5087381 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMR6
%!PS-AdobeFont-1.1: CMR6 1.0
%%CreationDate: 1991 Aug 20 16:39:02
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-20 -250 1193 750}readonly def
/UniqueID 5000789 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMSY8
%!PS-AdobeFont-1.1: CMSY8 1.0
%%CreationDate: 1991 Aug 15 07:22:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-30 -955 1185 779}readonly def
/UniqueID 5000818 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMEX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /parenleftbig put
dup 1 /parenrightbig put
dup 12 /vextendsingle put
dup 16 /parenleftBig put
dup 17 /parenrightBig put
dup 18 /parenleftbigg put
dup 19 /parenrightbigg put
dup 32 /parenleftBigg put
dup 33 /parenrightBigg put
dup 40 /braceleftBigg put
dup 56 /bracelefttp put
dup 58 /braceleftbt put
dup 60 /braceleftmid put
dup 62 /braceex put
dup 82 /integraltext put
dup 88 /summationdisplay put
dup 90 /integraldisplay put
dup 91 /uniondisplay put
dup 110 /braceleftBig put
dup 111 /bracerightBig put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
/UniqueID 5000774 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891
016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171
9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F
D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758
469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8
2BDBF16FBC7512FAA308A093FE5CF5B8CAC6A7BEB5D02276E511FFAF2AE11910
DE076F24311D94D07CACC323F360887F1EA11BDDA7927FF3325986FDB0ABDFC8
8E4B40E7988921D551EC0867EBCA44C05657F0DC913E7B3004A5F3E1337B6987
FEBC45F989C8DC6DC0AD577E903F05D0D54208A0AE7F28C734F130C133B48422
BED48639A2B74E4C08F2E710E24A99F347E0F4394CE64EACB549576E89044E52
EABE595BC964156D9D8C2BAB0F49664E951D7C1A3D1789C47F03C7051A63D5E8
DF04FAAC47351E82CAE0794AA9692C6452688A74A7A6A7AD09B8A9783C235EC1
EA2156261B8FB331827145DE315B6EC1B3D8B67B3323F761EAF4C223BB214C4C
6B062D1B281F5041D068319F4911058376D8EFBA59884BA3318C5BC95684F281
E0591BC0D1B2A4592A137FF301610019B8AC46AE6E48BC091E888E4487688350
E9AD5074EE4848271CE4ACC38D8CBC8F3DB32813DDD5B341AF9A6601281ABA38
4A978B98483A63FCC458D0E3BCE6FD830E7E09B0DB987A6B63B74638FC9F21A5
8C68479E1A85225670D79CDDE5AC0B77F5A994CA700B5F0FF1F97FC63EFDE023
8135F04A9D20C31998B12AE06676C362141AAAA395CDEF0A49E0141D335965F2
FB4198499799CECCC8AA5D255264784CD30A3E8295888EFBC2060ADDD7BAC45A
EEEECDFF7A47A88E69D84C9E572616C1AC69A34B5F0D0DE8EE4EDF9F4ADE0387
680924D8D5B73EF04EAD7F45977CA8AD73D4DD45DE1966A3B8251C0386164C35
5880DD2609C80E96D1AB861C9259748E98F6711D4E241A269ED51FF328344664
3AF9F18DCE671611DB2F5D3EA77EE734D2BED623F973E6840B8DAD1E2C3C2666
DD4DD1C1C829333DC021F341712CD58F9121EF1A2BB51F22879D180B0D16C145
58D8FB577E7AC07A713A0C22DCB2A9645E2057CF70AAEB87AF8C1C9B03DAE425
4AE7EB9FA3AF71407FD2D9F61C2852C163C0287883FC434D2095AF273A8F4954
642EB74BF8C34DA61FE0D15A86F38D10153AD623712CE35CB692504E8FE86515
A28664CA791BC604CC1420EF9E59FF8E1C25D0BA7791FBFDBA4AC73309B47B65
4F511B242C3C8EB30A4D71595C008D0A61E0F0700B56A893A9B72884FD6770BE
24311ED4DC83F12CDE95D80A6B3BC91D910B1F82930DCCDEEFE5CDE1E762FEDB
A54EA3FA1204D737A24F4B88D9D60E9E10949CBDDD9C81A35B19DFD6A53BE813
A8C5B2FBADE4B40598F773F37F901FB353F1CD6BB8161D9786771FCCAB262CA6
D70954037C7FF5DDDF8D7C10B6AE689E35DA109E409D43323EA55DCE85739DC4
1A02A5D0D9D0495617C14C163E83965B0F7F40E635628A7D9F1C3E4E0F1C0563
2BCF78080F4F4FED3F71965E13C6B45513F44A570F7CED6D49054C49A60C26F9
E0F843E7E62A800F45A65BEAC37BC392FAAC357880EADAC79D50099AB90FD85A
9CCCB6241E08B34F61D70D68A25D6AEF98690F6B6045ED41ADB924FF366DFDD5
3BCA2274817BE48B1F8DCF005A11D8ED83556E3439854AC4EAAAEAF673F5FE56
8E4D781A481C338FB9B74D908EBE3ACF6A3E43F8F85EB4A269C1A50812FA4F7A
F4094C14544DD6B4B044AF2C346B0390D1A83BABBCA1F09074E846439BB5DA43
E1B85D39739112798C60F6C3357517822BEA1BB95F04F63B1366B65EB2D6C1C5
82FC10BA2EB10EAF12C95E99E5034ED20286FDEA6D2349C0A17291F5BAEF0BC7
2B58F1CDBCD20C056633D0463AA55C05390F34C772BEA044AB1488A260C614BD
02FD4623D1E7B9384466C963976231E17754026BF643E3BC91F5170C57389B69
6048F6F8C5B276861122293370D7F57C49226897D268A0BA9CAE8081A200C2C8
D4154400A2105B8254BA9F1DDF70E00E55A910F2F4FAF084D8D7D9939CFB0DD8
FE53436384A6C960ECFC9AD39FD35EF5410EF8C75C23739FAB9FDF612A053D36
58BEC64A2BB27409F2641AEF5998D62EC05761B761BB75F490FE8F0E34BCF4FF
2B98EAF171B526DDE41231C05C7EFA5A48DA20F09AA313BA1172FD0070C31104
2898EC179120E5E2BDF33247AA31A50BCFB1C27414C8B1A92FA6927B0CD7691F
17CDBA27D2DDDA0A35D163C0DDE2E29A04BA9083884272EBE77A2353DAA7FCE0
CD6832B520C0C22B5F57A1AFD41F26C032917D22FA8FDE0FA8C41CFF4FEB258A
787CD363D70EBBC159C66DAB3249B30B418F1A3D9584A8375E37397A9D729EE6
D6076D1C7690C0286E3F21D72F85F1E4E3F21E5C11D9F36C02412C357A4DDC26
F3117E5062F22FD241E88D74E153EA4CC98BB2452FAE6AE07F22DC4C9FA85DA3
89E9CCD1F257434FE070BF7602AA31E9864E705215786511F495605E143DE4DA
11AC852C83991D63117D378153C4F339539F282300A1E3AA04452A7D2F6F73B7
2910AA571061F45F8FA99867199C0FC60B7BD20716DD5D20C2593B621C2DB1DE
60FC2F826545814D4E4FB67022C56819E511395B8C32EBD29587DF4F046A0BCB
78A05025D3FC5051D666B7A9CE8676C4C0F0DBDBB1CA2425BDC93D531E8095C8
2589D8568A1349A1F977901E7101E1E697AE59723CBA8371F4C1747F8A3C7CD4
014297745C2F07E602B8105F2F4735A30DC5CF9BB150DFFF7EDD2C21C56AE35B
DA942E911D37EC676933F5E858A31FA98AA09920CEA8F30C8C558A64D55EB149
42AAF6612E2EFF31CA5779C90CD7799A07D64B3C89203023167D2DFC9CAE4CFC
E39268661A390ECC95503FD2DB20BC281471B4289B75425A2C2375EEEBBBF629
211D79BC2C1EB7D3BB1B7754291C4409857D43B51F09408130475BD4C1A33BB9
3D46A6006189BC3A17D25E2F5EAF9282E862926BF2FA53BDEA097DD1BDC5C433
9BC62CF3E80E1DD67ACEEBEAECA95EB5E6C66DE0C9DF5076FAD541A5F0E0B1A9
7B61EB781C942E72F81F0668440B3337F74F2E4BD959B52F782002EBB96D3328
CFF1DFCDAB95E9F92E3BB25AB3E29020152744A5FC24CADE1DE3B7D2CADB39F1
02915D48B3476FE8FE8FB6E505DDA51DFFC3F8465B9ED80C6A77B028D859D019
31ED973CC0D27E0D230264CE2D75ED6354BDF27C362EBC9BBCA0D30E0DBA10B0
294D9379C9E1A1F63AE2196B0B2E944E85C11C0B4C39A9014D710D48534B57D7
34A314FB16190B0E32D8658A7EDFC5206444AE08DE5EDB9DE1AE396917A39CE7
D7D675EB2291629A06178EE7A39709EA91D6E7FC3A76AA7717B8068ED0C72F30
441648153BB3407C933B196AB06AE4000EB73927EFD839D115D63B524B436AD0
E0A6CBF430597206C30802D3FAC756FBCAF9B43BC998C2D433FCF5BC02B90134
E770168AE7295367F693C8402739B4C9A20A7639DCE831E6DBDBE49B53598302
9DE161C70930CDC51CEE4300797BF03D71916EBDEDD7848DD9727952C74EA545
567F8093F8C40F629961FDA9560B1CF900ECD1E468C6C443987A445AB08A786C
216A6A63E95A5BA8CDD2C5AF7E12AF09050FF2F818FB04F8748C78D66F62CAD2
22181966FF3647720718EDDC020F34FA2BCA107206269181A09FBC86476BD8ED
F22A074D6DF00AAD223637ABCE788FA74CA8657528044695EA3D0488A0FB7E03
D077C2CDECDC7C04DA8A7C8686C88BAF97E78440C28BFC2E22B821D7B7CE6F15
5F56BA512FD63B19E4FFC600EEECF1780B17DC5B56377F5DCCC47882E8D954D6
01CBB1AF5EECD9B1C2978FE106AD7D071BDED568B365855A25355AF24B83BBE8
1B4D33418BECE467797A1C3375107EBE10E215785F50A6D3A65A1D47FFFC0131
C07BBF41877E8ACF658A0BAD593CE18E46EC2707A20EACA96136251BD11BB77D
A35E2ABAA55A16F1344FBEBCFC106B820B2AF7D057E7FA0853543CA640DF95D7
2AAAEBE3A8DAA1B5ADD394830753DF13B546750F033A0056289C05A95C697180
C80236EF198EE1BCBDBA27CBF94F7C21E66117F723F12755B7753D4F1DA95672
B8567EADAFE0AC127B0FBF416191FDF381FAD70425F29303A19576F6CE6D126D
DCA252B61FB961EC080589162C3C20B3099EABC10CF1FBF983C70FC73E838934
933E67E435454FAE8A43DE21E7991B5D235F3C058E40A0AE2D90E51394096BFC
8BE4FA847DA9E2CD890843C03D1BC0D0FB9F351B69A16F98F6333A27B5D72D56
9DC0DBAF09CA3FEB23B7A2395B575F8C699F56D6B870D20AB158EB256FE23868
E32FC8F4C70DD6BCF99F1B3523BCE9CABBF5F4A301E3450E6184FEC37A504663
A1E0AEF87BA2AC1D143B084E1254FCAEFD6BA336EF80978C3763A777BEE21701
7AF8CF36659DDE887C7C6F0905F10A8C1E66E88DF10253D8D589AD7F02C84571
8AC8E6E92A9D746A733F0BD97E6A2E94BE009169808EC03ECAD904C3D5068CF5
FAE081E0855B8C75571D9104E57F1914E93F94009B8D7C8D7DAEF5EC8164B9D7
C960BDE673CA625E8DEA11BA9C8CFCA4E2A1DBE4F5D44A9DF06D5A7DB01E598B
73EFF0EE554C35FD61D6239C53F6A3B49CF4A5CC181BF566616895EBD282777F
3AB2E9790134BE2E9F3633D668BE054B8399A515649479B83C246F38B27BDA59
BEBE5671E688626589D57ABB68BE1077069CEF12CB224C00C0C81A14F4EA5515
1579642D0D8B8FC1CBD086C103E7023333695D4A3A000AE8CFD0C7F41155C9AD
953853A9D59B45C8E38C20D420C3C669B0F8B37C40C6F14FA06C27582F68F731
B417A6492B5858CB56A58B760A77BDE3F9C4F156DF15E5F0677F4E71B2E8139B
C2AB7BCAA1B1CD291AB6D62326320B7AC3F51D491FD9FBEE65789D1FE44D4612
821CECE1D4E355EE38FEBC5228564020694BF8F6011CD529E9315C10FCFD8EF5
B5E04D3514C90A4A7A12519FB3FCE7860C6AC66B403456E6E2D6082AE29DFD0B
D65C6E9C7E793F5CD5D03BB99AE017156AD25B67A26A5826C541F4A4C3E58CA8
65BAE00F0EF737E1DD31E72C7F09FA5F85CA27661FDAB37501E9C2B4A5A78B65
7C48EACE52AD51AA48724F132A14FCD6997CA9AF9F5BBAECF509124B5E99E299
F0C5F3AAC1DAFDCE8194DCF12BB3F4F54FEA27FA9D70673A7EFA0DD437D8E588
F6622CC337954474DD633F04C40BDD3272CEEA147711F32FB76121F47CF410CD
BA2420437B1CA238BA7352AA350C7F20D5E2219F10D37B471CBC94A3B9B5DD8E
910B9B7AFD1CA7E5D50E7B66DBC97601DF499C69DD3197903BEEF6BBF38E5F01
72DCBC4145E17395B2AE65EBB26DF0EA73A44F0F1CA9AA724F76173B746066A1
36CCDAD004E339D3EEAEA61F8426C42F995DBF1FF5101B980E7384734BE422AD
DF018D7A0E254353AE927214682BB81F9CA46688CE4BBC95723E245DC13BB2E0
28666CCACFC1EC2A18C98D0E9FAE188A591911758CADE8F7A29D1845EF3B0F71
93BDC2E95DC0731BD42C8CF221D4CB23A063BB1DD5656CE3A5C091226BB25199
A2A049DE50EECC3EF8D29814F128427ADC8D51A0F1EB7804B060C0EE21BDBDB3
E811A1D7216AF22F826C7F53215943C2C3DD2C9902A7983CD970251875D0751D
0C5399F52121FF3333E84CDC3023FC03519B4412E63F9854A983A5730719E416
9619BDDEE86B503F8C11EB55F426379511F65EF936461CBEC871D9D041DC24A9
4447EC45213125EB4CB67A95A08BCC0E44E9A58D7973A021C1E8CD0BD462D1E8
636F5FA98095A09F232AE605DE602B328703A782251074EBCBEB1576BADEEB05
0EB8F9F45B6FB275BE00220E2FA5A6FCBF45459E20FB027B89E1595729185D6E
3B99D1019CB57716DB414BD1685298
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMR9
%!PS-AdobeFont-1.1: CMR9 1.0
%%CreationDate: 1991 Aug 20 16:39:59
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR9) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR9 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-39 -250 1036 750}readonly def
/UniqueID 5000792 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMTI10
%!PS-AdobeFont-1.1: CMTI10 1.00B
%%CreationDate: 1992 Feb 19 19:56:16
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-163 -250 1146 969}readonly def
/UniqueID 5000828 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
/UniqueID 5000791 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
/UniqueID 5087386 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
/UniqueID 5087383 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: MSBM10
%!PS-AdobeFont-1.1: MSBM10 2.1
%%CreationDate: 1993 Sep 17 11:10:37
% Math Symbol fonts were designed by the American Mathematical Society.
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (2.1) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (MSBM10) readonly def
/FamilyName (Euler) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /MSBM10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 82 /R put
readonly def
/FontBBox{-55 -420 2343 920}readonly def
/UniqueID 5031982 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMTI12
%!PS-AdobeFont-1.1: CMTI12 1.0
%%CreationDate: 1991 Aug 18 21:06:53
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-36 -251 1103 750}readonly def
/UniqueID 5000829 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMCSC10
%!PS-AdobeFont-1.1: CMCSC10 1.0
%%CreationDate: 1991 Aug 18 17:46:49
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMCSC10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMCSC10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{14 -250 1077 750}readonly def
/UniqueID 5000772 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-34 -251 988 750}readonly def
/UniqueID 5000794 def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891
016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171
9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F
D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758
469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8
2BDBF16FBC7512FAA308A093FE5CF4E9D2405B169CD5365D6ECED5D768D66D6C
68618B8C482B341F8CA38E9BB9BAFCFAAD9C2F3FD033B62690986ED43D9C9361
3645B82392D5CAE11A7CB49D7E2E82DCD485CBA04C77322EB2E6A79D73DC194E
59C120A2DABB9BF72E2CF256DD6EB54EECBA588101ABD933B57CE8A3A0D16B28
51D7494F73096DF53BDC66BBF896B587DF9643317D5F610CD9088F9849126F23
DDE030F7B277DD99055C8B119CAE9C99158AC4E150CDFC2C66ED92EBB4CC092A
AA078CE16247A1335AD332DAA950D20395A7384C33FF72EAA31A5B89766E635F
45C4C068AD7EE867398F0381B07CB94D29FF097D59FF9961D195A948E3D87C31
821E9295A56D21875B41988F7A16A1587050C3C71B4E4355BB37F255D6B237CE
96F25467F70FA19E0F85785FF49068949CCC79F2F8AE57D5F79BB9C5CF5EED5D
9857B9967D9B96CDCF73D5D65FF75AFABB66734018BAE264597220C89FD17379
26764A9302D078B4EB0E29178C878FD61007EEA2DDB119AE88C57ECFEF4B71E4
140A34951DDC3568A84CC92371A789021A103A1A347050FDA6ECF7903F67D213
1D0C7C474A9053866E9C88E65E6932BA87A73686EAB0019389F84D159809C498
1E7A30ED942EB211B00DBFF5BCC720F4E276C3339B31B6EABBB078430E6A09BB
377D3061A20B1EB98796B8607EECBC699445EAA866C38E03ED7D4F3EDBCA1926
2AF6A41F67AFCFBF3630C943FA111E4CCD988A7363F7C2B75EAF5830B049460E
0D2B337988F150B9182E989E7750C51BA83DF37685483F86D1F47478883F3F6A
4B7F768DA5AA89E8F163029ADD4A9209DE8A4F285766C06EA859639B92CCCDCA
F59B1C2BB8D588CA754D1257BFF76B53984DF4937093AAEF79009D32A29A4C16
FB610C7D6713482C48D7F9E8410C0F00AD6E67021056B6035534E79F05D14EF2
4E8D8303E9DFB518278F121CE34CD4DF4CDA1CCEA13C630CA7F046332CC349E9
1690BFF6CEBD7952A14D6A5E387195535AC737F3886F67A0127178BBD22E4F3D
6AF3677EB9F8C36E11F4A5571A00DBB61F25C845AD0D0DAA7B0C0E7C1599A112
528438B6AB743F602AF1054E508F60136A3530F75078255199B4BF6F9A63A98B
0116E0C4547686AFEA312485656970A15FFA8885948538BA3253218137E19D2C
0E3D059BBC9EE3C53B82CB2B91DD3A9E53A387E9206767071C818BA1275A1DC1
E8D04063BEF7B9F5D422D41BFD6691804B038B82B5487A25AB72B927A7E92572
81BEB99AFD097F0250773A58EF35C6A6CAD1E4D619A105A02BA1FBCBBCBA78EF
EA6BCDB0503D2CEF61104DC88606C8A13AA63BAA9320D2B6A6A6771929930FCA
6D3C53F988A3B6ADF1C391F7EA6283DA8BBABF8DD6BE7460FB5E6D8C9EBA98EA
85876AB28B7C9448BD85F78E58B354685D8812A8F6A48A608C8E7C8B1C20F8D3
2C92E20DAE8D709AACA4A31F8523DD9982BFCB7D14C48B0A1478E1A28C0D5C23
7490C8C7D230E29C419A7CA87AC91FB6FB89603668BE5CF69A3CB15645C1EC4E
4CC94A7B9106C50F6DA1750571BEE0C336189067730AA2BEA3F180D2ADB503E1
E7D61C76D23B3669A89E03E0B72866B89A1EFEEB946510ADAB0D3EF3E13839FA
D6FBA48D6CA95CB91920844F014A55E21665497994E226411B603FEA3126E8D0
B051B16506EEA9169195E500997E008E1D125F0DDAABFA035CEC462851CD539C
2356D4EC3403976E35E78B79FB2871C9758E9A9C68FCC54AE3D10E8216B244BF
FC12DFDD59BAD70084F533A691C6D024CF43B51379C8D9AA0B221447462D1876
5D82EBD8DE43A56D928B73A287BC467958603646A6C877073E3AFD5A0D128A8D
5D7C44F70947C84ADE37F7FCE1EBFFF78D4B0E7FC2E21811F6B37BCA368487A6
EC69A93E0ABFD08FA0A06E9DF6BC1F208AA4E0EB30FF701DD8031369D373A4B1
AC865E1B054F89F4BC081BB323DE9EAFC6CF4E70474FF91DDA6220466C1918A8
043AB5A171EC275974797E5FF02D18EE8428949D4C89A53433D45D23D1405C4A
8F5ACA55296C68A16E9E3FE9C73CD55BD59F863A6B26DE92ADE9DC1A7CB13BB5
B04BA326BE926AF3BEDA3B63E3BDE1E8462B4B0BBBEA8E18FD6E618BE7EEF748
A302F766DD079741CFC27C6651EF90955ED16702BCEC77BC647270EFF8EAE8A2
1527F4B593E01771801E9917AC9EF7739E0BD78A08A0E5A4A55408516C316FE2
C141C2ADB11AB83A4285DAEC94980069F2EA18886D7CCD123918376400D1A005
7D0AD4484F9605F04A21DBB029A634648B2242A5C0D29F7CA481E1543E907CE7
1B6F677B50884C7A98C92D10DA5A619FC57520A37DAD1F04139C1CD5FED1D070
0BB5D177607B9EC71CFA79ECB1D9E4CA84B29CE940EA7B20E64DECB22A986F3A
B49190DB294C6840D2A7B0F0D16D32BE23A12F08D82218F34C05F2AF4DE1B749
525DCA4DCB0A8512DBC1666A78704FED463F7949583190271837A16967991F89
B6EBE2FD3834F893042FB0785262320B7BE780E722F6DD9298D84E3BD75E7C35
14B3DC0C16CC2C230A50461A2DDC0FE9E07381796B3CF46A8AABEB840369F9FC
15890E9BF1C81078B9509ACFE3E172DE2F201125B92B9DE8092DA1918277F681
C92EEB01B56BFA8BE760D0146CA780E043820F0FC5F9E392CF46D720BFB00108
2C9C370C5E71D201EC3074D51F810124CC1957668AEB1F8A68DF1D3ACE6A6362
241EF4E7AF38DBFF6BB03158C7704856DB785206DC2D944AAEC1E617590C9557
2CC93B6BDE65CB97CFDB99FA09E1AB3D4A73EF8F4EEB4BE2CBE9B548ACBAE339
B4E80C6274EEF09959EBB672BC981D8935815022577BF66FCC28359310ECDE94
D2CBCF3829AFCFC4FA690867107BC62656066D48370DE6C275C7E9B1A43D7DB1
F4CB7CACAA97C1A5E0ADDAC59A18A26EB977E86BDA5CA168DFBF66EF4859E0A3
3599312F982048BEF821C64A7F4AE5FADA4F9C1BD1A1B7781A92078C91C29F9B
0BA3B16B35ABBC3BC2B6CF309A1118580B7026B9EEFA29A81303C034C8B0D79C
8D544862EABDCCE963F8FA3A55402FA207C469EB252DC5E9F9E50277FCAC595E
3E9E5AE3370762A09B9FC628082DE6927AD2CCD526A41942F75FC87D6CCB961A
C3D0851FFE351B3135AAF9184432741E2AE1E518C1CE22CE11608E2141597906
0A8FF3394A1E9FA1047DF4939C4C547A58DACB09BE36C1BBF8E2A3DC4F4DE3AE
E9A06A3C0B07D3CD748EB0D24DCEE74E0DBB3ACF610DA18BEDB7A29C59F8CB36
956C54225B8028287F7450C03422D025A9024E371DBF93735183E85DB070E292
284D6DC723CC1CEE6D4D307144E9237EDAD0513E08BF398C9E87443880B3D299
D1DD43BA47697B9A26966C2D53FB0603219B8FCC3CA339DE2CA66CB68D7CC351
25D1F33925579750B2FC05EB1C557857100224FCEF4B183550EE87683799BFE9
F6FA4BE3CD91045175732822898E052636775EEE1F8D0088ED635D37D5B9BC08
A0F2795C6AC31B2FA0A33C6FDD94A4B8344F2E9C35C2B009047E7813ED1E72F0
4DA79ECC8CEA3D6AC62374D631672AB9C1A7C4974254BC09F74E474FDDABFC1B
D571C1D4970D95743E0138AB4B92EA99C951959BD55DCB158A245F8FDCEE18D9
4143A6DB2A74EE600CBDBB20AE0BB6C723714B542D8FFEC5FAC9497AF69B10F0
49E00FD75534EF53E2155E4F45369679E568D60936C55F989085006E46CC7A38
38AD7D896DDFEC5FA1885D02CE91329F60423E87BCAAE6ED57D542F8AF2C15DC
E51C60BDDD153CC1EB287C794CDCB7D792B2DD811DE250DDB4224C27166365B0
DCDDA9529BF4F4ADFD223DC71D315AE84D3E50E05814671BADD735C63AB1D06D
2385BF16BE121F5CB1D16BA90272B05D2C8527B099C021836FAA01BE572411F8
C4C79D2EB1616A6CFB253E328272280FC85D3C8A9D34DAC1FD91EB113B9F93ED
AC9A0253B57493821ADD0E485DA4A9C5F5926D18C421F1BB5D8CC322C8841754
CD0762E023E189B4BA53008EB02B141FD4B3B48A17C5FCBAC3409234F8D52A89
C96BDFA752C4A8B96BA17E4F737B36C90DE6C9E5767DE93C50E91668E4BD7D01
84900D05190F88D4888DC7CE4178DD0F83EBD0C0CA24F4F07491AB57F61218C9
876AB3F15DF85B622C818ACF1D6CEBFEA234EC895D0B8AAA3B374889DDA01068
961E6D9E7F57C4E11E87555427CF7E7E018504FBF2D2E31CC4425C58E992260C
129ADF26F3A2C51A4DD6FF0C1623CB2FCAC348FAE307B8648B9C8336C3B963D9
4622932A6470188F4476A3C89457D79E24EF61F3B58745A190578DB1B5AE65C3
0080BB3C9D64B7DDE9F61656A47E6D22E18AAD322AA6656F1CC21987712E1495
EA09572854DE9F3E0AF92014FF671B3DFC768FEDF514F40BA401FBB590ADED66
3908B1D3300F2C6BE37FC514E75D4C93FB6A31151DD490F519BA78680AA5D5FA
592F8937DCAF38237AE58D496BBF116B5AAE4954FFED0791238E6ABD74CE3F7B
17B8796AB642B218D505B586AD809089B3052DD722E014686F329CEE77BB6C2B
AF59F05B0F2086875239A3AC2302B2B37CF0E8DFE2ABDCD3ABB70360B93FD37A
739289A0FED2314C69A25570DEAE3C3721921121AAB84F8BCF49ECB98E036C45
4D3F629351CA5CED46310ABB7AE11A3903D203544A0633836B18FF69CB25109C
014CA889B8CEA0333238E893A5CE8C633AE240D6BED6C93B52242607B306CA57
7848369DBA1822CB8E518D1EF76B3BD73EFCDFB2CE67D73B1D07FF5E3CE764B5
5086378C8A0D95946BC66745E3A6A6935CE14F47ED9511F7BE3D84297F4CC0B8
8A1D9015C3E604A7D1C75D7B365F7B1C1EBC8A7AD3B253CCAEA29ED33BB9ADC3
2F7DF46B2D6AA96891FA08B6FCCF6AB39D17F16ABBA62E63022C0D455A479025
ECFEBCEBB8D9D9CB463126D61CF01E288ABCC510758807AB1E4126EE39B284F0
5A4565C40242F7F2930D70DDD7D8D24C4CD8B134A3A938468EB8AB71609D3656
D447AAFD737CB915820F4FD5DB3D35C923FA3E0A1274291708EFC943C8262998
7574555CF56BF9B373D0A06EA2E10D141F541188A8FD4A05DC518EAFAFC5BBBF
DD52552C853CF0CE821B889E37955A81DACF1FC062ADAD74D1003BD690B92885
C4FAB9FE4150D0D44BF860273B0C779BF5EAA41C4DBC24D4D4DEDB1AF4D4AFD6
B0D5520AB653606B3F66A6957068493043B677C2A1748BD36C7D0D1898ACD903
F7EECDB681BE6C08962EB9DAD2FC33F3EC1DC32E035B8CD9977337DE459EEB8E
FA17EA2A3FCC740C56973E51DB84CF36E01A0C94183C973D05EF95A4C7C87CC4
A03F44C8BEFDCD8E472031EA2767D1E4F0A263D890B0A73F7E33ECA245F613AA
CB5347BD4704C4078A3D3850FB30829B0919494A246FF693E3A25659FF89DFE9
D99EC38F3872CB897625AE877F89DBBEB10FCAD2D3A9E7EB288F841A0F27572D
9D720FB60EC1010DCFD54D031F6220B69A8CC3C4814C0AB15B52BC31995128D1
91FC7AF1DFF52F7B6B491C8145232E3FA41D86A9811E7CD93735993672C294FE
0159791B241B468A366D4829036D84A6E5B0A4648D1D288C7F350C7781897DA8
A92C9BCFD5F10B080245EEAE6943A55AC9EECBB6DFCB51E1089F824DFC4D51E5
793B2FD37C541C1904CF967E08A763BD56423608EE9C223650B49D8B28C7F2CB
15194A1AEE4D61CB535C42EE5F6A07646823D559D909C9690622F242F0CF4A14
D84E6C47B15256E0D1245A0AD0C50D7227202534BEA02395535A7523A3ACAE2D
B59A007F526535B7B048741D4B9903246498FD56305E31C1E21FC4986F96241B
4B4D441152F290C2CBF08BFEE0860BA93649EFB245D0B749368E81FE2447DD72
2762025FA01BEBCC789AC8B2B47EE21F2218B710ACA93E57DBAA1CEDAF260646
BE93FF2B7CD4BF1DC487419717C0741FB40CD3B5A8FA7CB3E733659AFC7B1168
EA6064A83A643E219DCB048910907540DC2C2EA6F45F4DBB4B2EE2FFC3C2D328
6BFA30ECDE28E5C71FC56D681B1834A4E8E33CAAD171EEA5682512535694CF61
4A9D78D0962A73E2274022E9FEA3D3526819F54B6E35AEFD38AB7A1AE80AD839
544C781232F95CE2685D2ECB8C10A0F27F70DDBCA758B79C524B4BB5D2FEF9B6
EF09641F9661251AC72FE8273BF365E19C044B6B7EAB5D1D38FDCB26EF0A6D96
9CF34F89121B44D203BF65F94FD999A37A03E3DA60612749D5610C060279E4E5
CEC05451385617280938EFD08370F4DC0634A3D08F80B68210DF64B953D03730
3DAF3BA93C528412C8E7A911369F7F6082B82579D9F8A6FF0166943E5C38ECD7
D8BDDDFCB805A479A0057A8CEECA34A480DF44C633B8AA5EE0410994F54D6572
57497A7C031195DE33B94BBD0151DE1FA9A47C5432687C4D6D9C96BAD80FAF45
B17680D5C70401BFFC339BB7049A614AAA3929CCC4A1E5F06F2501A8B8A30D05
907DA6730E7E2F95DB4E60E9BFFF603E3387D7D4D172651EF47111EAFC7C2853
0A623ADFF054E6A1694FCDD1A4C4CED127B66F5146F4AB602E58CF3037E9CDEF
6649B123624186E51C953FF5FDCF4B556C8FA08419F49321E8FE65DAA6B5CD19
7EFE9FAC3D3AC3113E24BF2C1823484D08DDD93781935B7C66DE93CAC02474A3
7939C2D51A9ED7E9C911E2AEBB9CB082B41D0B8B2B752FC60AF3E1448C08A855
9ECD0A4AF8620EC99DD87AFB5866FB919DCD90417CAFE347DE248BD79EA7E679
04C9EC1DDB6735F34AE6455F27A557388114EB54586A8CEEAB1D5E8EAA2F852D
D8FDC5DDF7059AAD07BB951A1B5A1B369EF41CA8D0907B6ADB548FF2585976DC
1CA4EACBC42ED06015CCCC61E2550DA27D112893EE8A5C94EEEE3454A3D789FC
79E48091F7C6EDBF0D19870C7CDE47FE4D96CF7B7E61B3F14E1555A9D6F8CD95
2949E55B76CE85805509C5A8158668ED0A6242D79806AF9017CCE97FC5E041BC
253ACB1D80B83B20A905F3CF73429E5798C1EFE86E527143937854B53EB03E67
C50615107975B39711EF7D10B03974AA6111A5CB81871EE84389CCE6061151FA
F8B96167643E17439553E3206178D17F3A0E80EBC25D3939DDB15EBC3AC83ABA
3D4639E6C77203F999DC9B2AC612FE064FA1505C00CCBF6F6768768F96E81302
68FD3D847DC8F256F91828A74B03B34EC2EE73E671800071157974129BDDB2A0
3357D2A41340F9319200112D1CD5D2236B47E5993758288ECACF23BC5E36FE1F
E25EA2A66BCA6BC30F377FA929D073A7B9A6BF5F07B9A60E9DC0ACD50F19E17E
1BD50631B7652C24197525600465C59ED077B246F816CFCD2F40F47AFA108ACC
EAD54F2B7DF07FE90DE46C1BEF3BD51245B303E8AEAC654B56D9009D492C6770
64D9D2D9D07A6340DB01D672944C3F0DA1640927C74E73DBE286AE211761BFEF
071AE569093D8503BC01D426C7FFED6B08FD45907CFA51E4EDFDC26801AEF9AB
FCFDE4130D7A1BDE019B6B787FAB92D8E656BF6DD69B48B58832A72E86C75489
404047AFDA93E7DB59916660DB6D5B4EEA056E1024A116F56947C74749078F0A
37D3114220A76E6174578640F787D17E680335AFE4411FDD19F15A438E33C84E
7AF061E4528BE1AE85E07709AECFF29D93347C4A00CA1D5F5ABB3ABD73926B4C
00F6E2FDA1EF3553E50AC5D5AA376EE621174905F6E8879923B319B493628CC9
892EA67C643E3EC2AB05FD01C617FC48D36D49C933B1C827D7FF83558605206F
7145484B966FC1DD9594ECF8BFC7048C7AC06D65BEFB0AF06A0B4C70FA7BC6E8
D310DEF85FEF507CB96AB5395E146AFBDFAD3A7E3C7EC180E5CD14F6F73E5A10
F40D403DA12EBD5B6F09069C60C7ECC8D68E3A6CA50DB534272688699B51157C
9AE9387702B1D5345562E5D5DE91ECE42B64F17631C84806F8A223FF23E5EB9F
9740F90BB4DDBC1DDF07E30C6BDE6CE4CC4A8B63F1696AF260929177D731A4B6
DE6D8DF7D51C2C159B45E12A0D910EA136F7AB9CDE43549DE2C788CB09BC984B
9BC135C6A4C65EF7A0CB79BA00202278C3FF4196C55EBFE059AAC04C0C4FA572
248780E4799443865C954308F8476EAF5DFB7C6428A7721365F57A8CD1D935A8
873EEE66BE290C8AF791A71FB8AD184834EE964C7B9D38D109BB543131484ACB
E12A38A6C37D66E5A70B7152C12A86AE0CB0A0361C8856D5B34836616CCDB8DD
E4ECA5DEF4EEF42838C682ACE13C58E0E856B30923365B49BF8BCC48DEF0820B
C9D61D02595F8A6656421E5B6964BFEB01BC495276790C5E37C08192F081DAB5
F88B187FAC33BFE15064262EFD859FF2455D51288ECA45F8AAB18EE5ECA9DD87
BFD1F31EBD3C8BE506C61F99C1710C1FA0E65A27025483189A162568735656D2
2588AD11AD7AFDC831B5B017D4D1C127D946EB6468CE8E7C8EF75FF30ABBA355
0C4E88D53F0DDF9C0C38E2EB8D660EEFE80B559C5CB62A2B64FB74B2F65D07AD
9093EC5FBD1D0BA05BFA550EC99573FE25D82BB2EAB3D294764A9CEE7F241549
0D48F80D41924B5C96FBE9D6F849C1784121BC44E19AA92BDE28432664D895B5
8D6A032B701E3AD0B3EED9796D793C8D87FF57529053D2759D27503B6845DC1B
60E92DB5FA4FFC29AB3EE022FE94FDBB2C43E5C923FCFC3FED6760F635E1F5AA
462021DB1D019B8886768A7FDAC44627D5EA7C47BFEC4B58E6CD01C1C3B4438B
8175DF0178EF1FF50B4A7787FE5349A58AC3F631D69AC1D716E846C97703DEE1
0FC90BA913AAE125040154472AAC811B6210929271E749C676B217987E19A0EA
099E098AD01185082B87C7FD154DCA667C3CD071BC59A8883EFA0E468545C314
05D88CF624250D69ACEA5E684139734C6F099CFC187B65629F88E051018B4890
06E29111CB97634937CA9D0A69EA6A7AAF4BAAD94FE6C7BF75F75FEC71A02EEC
C5304097F53F1A952638C5ED617E7C5BD7ABDCB63A6F9217EFEF18A9EA683520
3ACF1E6C519F2ABC09800233866DC95C542DA53575AD6CCA58870FAB43CC5618
0E9CB8E1ED52E86F51170B1D7B6BC3418A7CE10613BA75F1843E9F0EFFA6835F
9EC49CF03AD57BC7CBF3507BF856A9FC3CFE670EEB9CF5A7704E044BD2F5F5E1
2E3E80AB14C3733C0858585F70D5AC23EB748193DAEEA5A3975FA94374235848
98562389CAB5496E51F863E7F23F2218CB01BCEBF4EA15A176250F81EA002993
F00BEE3C48B4A84F1D77FC62E0DD321ACDB2B3B96CC2DBFEA280D693D6F886B1
2D4823DE48006533B5D8FA3769B68BEEA5172B2A3C5FF8AEEA94DE7AE967F86A
36ADEDB80A879CC431CC689073458144BDAC54C03B8B670EC06631F5D0594D32
9A80CC8BF6EB5CFC93C249804F14C867822D3DA3F14EFB561469F10DAA7A350B
2FF629A0080B4C4A5C7397F2A6C1884DA6C5ED9AB3B5A5865765880178886C94
9543C8C84AA650C3677CF42E70373977D838B1C6D4F73485FF57AC9DE1770D95
03DFFAA1F52FA5589D8844AD999163F556EABF921E93D90F8BF00138C1FC0133
81DD1E9406DF5D58B2497C9F295C51D9CEF1FF0078CB5AC995DBC9A97D1ADEE4
CC827C1C6DAD0AA7F772862376CE9BDDCCC5A53E217A0BA61F2B9B6642CFCED6
F9A4D61AB0E8BA7C9E6480F0FC2B9773D39249DB7CFC9B5A8095174489350695
2D9474D84982DC13FB8F5DA1269E575E834E363C8B1346D9D28E0C28986F8DF5
3AE001715157DB6B6D229A20171F5110767B597ABF96767D8B0DE9F8C9006CFE
86A81615911A875D27F141666755A8D6BF8A5161C7B8EF670E14EEC1BCB98144
029CD8C73409FD628F29C5582E0D0E63A0625596CF5D9E49E31CAA1BACF85FD0
834D098E207EFCA1A99AE2D3D12A60D17CF1C2D737691B03388058AE04DB3D5C
96F47F012907385DD99D537889AD818C79D1B0639F13059516DF33D454684B7C
451C20256FDAF982E969C7F98A60FAED53A4856082822DF40D4D0EFD3AF1B0D8
55471BC6B60956DCCC4D928994873249A65E374F069F5587E9D4AC9B72F69D00
A382B5471551CC366A7FBA2F2D21A67D56C2DEC1D4C15E92D4BA3DBDECFB2942
8C49978523DE793640210D1DCCB4E86E38323FB670206FD54431B69FF720650E
6BAB57BB0CE610CBB144EEA10322A341FAE18B9F8710A5279ABDF65C4B2DEE53
0B0573E0C0A6A909AA213A273AF49C2BE9A62ACF4F664CB133447D0289C40D1B
81B37F9D1CFA446B90A6C4DAB321BE62244434FD19BF3B8A1A1CB03DA48A81B7
B8E64C97D3B4682B855B9435EF0CBEBEF9DAB0EF5EA9F15B6AB9BDC109AC01B9
F2357F0B8E91FF38C49F75EB510464D916C0904950BB3AF0C1D122D95A82A703
714A5174E5462AD2D1BC9D8FBEFBEA03523BD998981C09C9FD904FFD12A9122A
8CE7E575D6ACB30FEB21A273AE9770FDEF5B61846E8085503ED46049C2FD219F
94B151AE7E11A31669E68C2936008AF4CEC675F80910CAAC7E7410FE05F3AB2B
42713F5CD1444C6B6AE470B0E9205EBB917EA2A26DAD48C023FB4D7074FF9F99
D4D51CDCC075F7413FA370EF855F93A3C7CDCF40C93B2E6959D49461AE0394B5
D0E304F249FF5B68138AC42AC68CB1144E535973EE512B3002EA60263E629ACC
6283B894742C557D3AF22AC2DE9F8B43509FE776302EF31AE57242AF6E8602F6
3016107C7AA6A405928281BCCD8BEFDD7538E1DD5118A3F705F618EF6366B510
CD4AAACBF5536873B95C8FFEF68923580BBBFF660C30B4589182B72BB2136141
1A86E43CCF14C0C4F0CF3F6A66318CC200F9CFF3FF5D98B16CFB4CF400B67F68
E38EDFE2754CAE47EEA1EE579584EEF6035A8B483A1994A0FFBA0832BCE8F7A0
EAAB9664122BE18A6E33E6102209B55B759513342256F51E3E2E334075F65E18
BF8300C8D029FC33D67150FABD3ED657BE035AF28C79EAD82B0144EA8EA0784B
FA3F7BD7CFB6D470D7F5EB728BCBA5CD825120C868622DAF5C6167D5F10B1954
CDBF5BD739946028A4F0CF32B9FE1E4E0263EF883C41193118B6EACB008F6820
55BBCE2B33860A89184C60197B1BC147217DA79950E2CDB13587EE6A69413B1A
C5DC420FD879179EA0A17D057FE6C589320C3F4D6007D261953BDCAABFF0C4C3
22A37C596269A8D6C002C2EF7961F44BEEE174D27EEF9F9088C939343D73466A
A1E5E7576A246AE7B1B6018F82858ED4A311E47FD96E95A1B80E392D6B089240
27BD45E3B229873016A6BC56B8CD3C81BC76DED8AE1E0E2FD98F8D110BBE4634
0738AF004738BE6110D0616D524D250D8EEB760F5B7A9D4F3B413F62498425E8
03E6F74B954E85CBDCC7D18CAD579368AD85BCE0A32A2BC646A6678A3E5DDCD9
08F685378F7BDEDBB8960AAA13DA67A9FFD995FCDEC4A6798B1AAF305DB72F48
D3C003EABB537D9115477A31DBF56F1D10B0BAE8FA0B9AE5E474723A274AA54B
AAF40A7F80F03FC766C4A3391F1A6CE5EC79FB559344E022D28F8701FD884350
2A83D07EA5CB68179696960C06FA1569682794EEF705993ED0CFCD356082DE43
0E679AA1E70E809B3C6FC5EBCBD1ED8ECA679D1285475A4DC192B92EC68CFF6E
AC8BCF87CFBD0860DC090D4F5E6CDC1F601825886F3111753C337E6130CD71F4
EE6A99C4203362133A3D0053D937656251740CAE30F9E9BD7D1E6EFF87E0BE32
1DBBE36DAA869FDE5CD5226408B671617E5BCEBB88455FBD5629429E15E0D518
88A032FBB4C89E256B050973C7F8D9CE986729F4B7D031617B35E4AE411ED222
FF97C237EE74E130E55EF41F8479DD652A5AA003D46C22599D0630439DE2B5CF
CD58A3A573CED796596E57CB64599EBDDBDE7F85D769A75A5ACF82DE33937C69
44FEFC83F43346C7CFA48B81761522D6F6E5FB943C3E08E7C52E52FFEC2E39FF
F6F655A34423CFE00CB526F0FEA628F2A4CC267CEA0EF936E294F4796CEC00CE
D22BCFD4F942CB9E83B83FE2690EFC3010AF04CEDEDB87B006B472D2A7692D1A
AFCD566F592031569B01214DA9944843D7DD47E985CD03560591B4EE7A51A9FC
40851EC827E16E71A719FD4DE1CC26EA5A487D66B2BD29E0CFFA33C94DB7663A
8F10837B35AAF13A3D07D1C7A30FA84CA13B4C7A2B5EEB0198CBE9584606BA4D
652957DB26F8825B1FDCDADA69F2367532C1270060D00C3F7E3819375451ADFC
8D5075D77A27C1747119F4E6163E0C5B33B6E378A12512EC023A0DB5CD4903B7
D7759218A5F7EBF5F59016403CB001A03E88361C827D080E44248BCA0A764A3A
18BE9D0B93657F40BCBC4F2D2AF62832A9E51E93FC702EF21F9E47DEF3CEB7DD
9BF9D35BE9C4E52D31AF119CFC580E382496FA7273D30ED81118490B5524D76D
D8F0FC9D282FDB01E01B2131364D452D7FCC20D4633A928BD95028013C47B8D0
57E9FB0E5DB98727ED5D9F4C55AECD7F360AED18C049FAFD0C16C4CBA8BC5678
0A1216167FD85632E5D3E9F0856F873E4C4B57ECA8EAC13E9F0E0DCCD71FACAF
092FE8EE3DE72CDE071A83A86F25B9018074B2FA66CCD1EE512641842808CBD5
8B0A550513E7217093999C16E2D3BB7391FFD0B9A2F6A8B49AC164F6163EC9BF
8578BCC46B46FA62A1AB5DD19B03348AC6E2F7DB7A1D1FE8E8C062C1728BAE5B
BCD00F034828CA55D00349C2BB0AB6B60F6EB14F3469AC7ABB6C04C0A35F77A2
A2C42FABFEF4F76778EE1A057A02D2F41D01FB39092116D4003C5BC681563599
469000F01967F46420F3AAE1D22BF8260C8065F69D741D25DFF2134CEA26E19D
F9A840287A8B1AD9C800CFC219BBE055D0E6B9A9B0667630077085A0091C9065
A9131784C2776986A2F0DF7FAD0A76750B8AA7BC613D17284A63E793B7F977D4
51D9B60C51BF3CB49B4E87D3B2053842A15B879E16642DB5C638A5CEE7C56249
63690A6788CD1702DD4661A17E599EA19B6DFBFA4967A584166CFF83FDC72692
2C2FB2250991F89CFFAFE3EEBCA63875E678F73E81B090E85EE37C143CB6B99F
3545039693DF041459E08844C31FC6961DC63935EFF7DEAD5135948F6FCB79CE
ECF51538E22728EE73CED73EC299EB009888872B3A89724A70F6446754247F50
257DBD54EDA586EA506C5E2E98649721D81F5CC7E5976216911D86157167566F
1E3BD3301E0F6D7F384E2EA8B0C9A78F8B699B6A6C71BDB102E7FB24F0337F8C
605A707A8E2F49411522538D9E231AABAB3CB455A3629CFC0971EC40A4E12AB3
CDE8A1E542453AAF80806038859E01667B961A1BBE82BBFF80EBBD907C779E47
DB3E03A92150C8FB1C9C81C12343E3C2D957F239F3880A5843EFDFB5B3D2FF0A
0B2279C5DD775941D497FCA410E989AE6BC78939DC33A4A8A1DB6B334CA7EDB3
66E282B3F8F837B61BC2FBFD12304A264266AC48739499124620341CF134E8D6
568ABFACFB00F7C64C9C41426592426D7EFCE01D1CA86E57F540031EB51CEAB9
8B48555BC198FB0D2428334D0B1613D277D6540507A28BC25C608F5E5A1CD903
FADAD9FAE1D5306C20339102B9B6F96B884ADEE798E8D264F4FA924ADBFDF6A9
024579BDFE560E426A07C848AC505BFB245EBEB9DB179DB82BD7A786141C3824
AB0F6D187536BBF6B67F5FD0EB70F958DC0EA4644ADD5993BDF4D3FFC2C1F8E5
C1C0BB4DDC16969E3A68FDB9FA486C07B415792E7C5C80981F2D30D27FE118C6
29A4B814EDD01EF90376AE7D72287EBF14490DD398A99FB2265948373458F827
8D0ECD67407F2C85610CF8994B0825F5ACF110356E147F15060CE5E330308666
EE3ADFCF8174DA3A992CB47F1F1009ECBCF2527A7AC2209836D0D583E8557BCC
F37F2CC579187B3138A9D64554A36CEDC479CB9948BFDD6223F88C89D7C12E37
68A130DA80BE57D613102D18454BE8B10B9EA177FA9414BCBF235D65900CF253
614861824D9985C43186B137F0C4487379C91FCAC8409644A1905ADCE3C5337E
0F9B1ED15D61A41AE10E67458DDBC0058D3E8F2CF56ED8F83B80C2220034A9D1
9D1D0EBBF0CDF4DA35198569AC473E9F09E01BC3D43154AEE79EAB6ECD3B6479
69247619F0679517E5E7690D71C4AB76E4B4D596B04BF26539800310CC24106E
13568A0AAD67D57334B7CD12F0F5D006438EFF8C5057531CD96C68703A372080
7D8641CBE1D5D71FD384E3627FFAF274D3B539B6FB7D442E2F8BD22A90F41BF2
57EA156C17A723BA26A11D947A2661C869FCE4CC6732F5122CBDC792E7C2564D
D5645C33BAB6DCD3E87F5EE549A0C383F281A5E12CE572809F419ACDD9DE0525
8E372D9E8BE5E9E8F5C06EF71D58D43DC209712B32CE19C613C7B7D9E0255492
B7760433D7E9AE560DB406F61FDC54E1CABC50805F2686B200B25B446A4DDD5E
CD5414C3C9A4DC9E1564E923BE8C3B874905BAB60C0403CC211EC28630F1C4C5
8E9E06F420E32F1C6B95FC754E1E508E8BA399E57FFCA4AD9C3AAB292465F96D
F77ABA93EA0655934F253CE4700AF3594724AA01AA49AAD82B37761CA805D804
D52E3F114F7CED2FF47601343C75C896888F5EC47A45C73B31EDC071EE1790E4
62347A814925C28B9F3159C4070799DFA28719FF14D48287C79F58103316DD1F
605AFD186636914EDE8D5EE64F265AA7CDE38EC4D031C8E7962B1E027991F13B
145CFB9D1FADD1148B7041CA253209F8C13BDF3C04614CFE2D5D9D02E3E0CBD1
F81F9CA80BF6185B318065F711E731BCA0ADCD83369C6A80DD91B6F102DEC8C7
F05CDAE99811FE32BA585D1EF2A8A3A557930383A021B9851FDDA6C87B52CF7A
DF4EF6AC2AD5956FF2D4A93B66A12E11A2F9EA69DBE5C8C785FB2FE7828A17EB
F52B5C2F37027871DBFF9DC8FE889E926687CD0D221DB40253D640874B48C011
5ADCBE865B578DF44BE231A94088EF4EEE604D7F3473C109781A8D549F0F788F
C290CE4603C02E07EAE28B0F08AF6B768CCD31C364D8B1D6C77A0AB26A00BB85
049921A7AA26C7564F5A442E8403A739FB46FB4CD97D870C8B4BD207144B87A1
A664A5124FF81C8E6BB524653E898DE26E903E7C3D6776245EEF71ECCB726666
662ACA0E54B758593B7D815B906BBE96D2159E1C54A12B41F5004F508BF70058
F6BCE8BE443EC8B2C5CA61511CD6699997E40F3F9E872D03FE11A7BC2F082414
B1D972B2FF51B8DACAD0DFB99513CD1C0C94AB66D0FBBC85F0B72559FD26995D
B982021A9DFF78A7F513F61950650BB22ABFE0753A8760B3F9380AE24812BEB6
BD259F1A361806A3976D94B65B9D9133E1999ED21C55833B5CF0522812217103
F7C1AF1B167A26229EEB9CD7A332231D1A2E0D980F96B2002959D11DA7016D0B
D1B176199865646C10A22B7CF724AD19031BF3DAE622F4E6057356EDFE271D4B
8FA2C0441B38ED772EA9ABA10440327786CF13E027D65BCE5D36A3AA584E5873
345E47197E90A95CC13759A98FE548B75B223FDB929E219AED69094AAB15F3C7
B938A044AE7EBB3771C79E72BDFE104100BD700055DBFBD900916E43FBA7EF37
FA454EA598C9098A969CE1A7C8B834431EEF922193D457F851DB6C28FEC35F7B
7F74DD7C00F8A33B55960F86402B38C090F4F03AC8743751B9D1B8D9D5C9E36E
BC7FC0173671217D25F551C058B6CA226D7B1ECE5136F0FBE860860968764511
18C3B397472F32F641FF64B8D081DF5C3ED86356DB7580296488CB3B1E8D69F8
920B83EE6589E2EA4E4C41C96138C8CD5356F061BA181B289C6361F104891FDB
A11423E4668C2992CAC08D66FEC37DEBA1489099976380DD903E5261823D8B3E
9247FCC56CC31FF065FCBAEBD652E7B1E023841D2B6573AD8A6F566C6D5642C7
0C93CEADC0707C8910020D01C2F5D0896BACDCA150AF00464A097F60F9A73EE0
34982D6A2DCF36ABFC67767D0E117B410EB077D0CC3D954EF5640AE27633BBA4
E196FEE65EE0DE094341689FEDE065FED02D54474FE787D9DCA19B5E0EE89A76
3803116C456490234429F19B9DE1279323C429D93E260938FC5348016625556D
55CA80F2F65900955570ADBD71C2A74728263D6B957E7B6C01AF182E156D93E9
8C8E9A7D8151CF6C4715AD782AF085F3EA42B74AE10215270447426AD7874795
E883D84DDA23EFC7CEF50FF88210D85617055DACC3F1C166A94B6620A4C0945E
642B3C8CFEFFDF9C460EED060563DE82B9FAECF10E481A010FC1E934CE4224C4
760E44A0A9FEA3260C00187A059B5055B4FB9057E40203CCED039EBF7769595E
653FCC947AADC3BCA96981B70BD6454C59F91873145A325AC817506F40A8C756
63F70AF6936C79FDE39CEB9105C21C2D1CA7B273F7E49B8793DBD1DDD9D749D1
36468C10354E81761D46E02AD5EC42A45DDA25B0884E0AAD3D284895F3A06A7D
82BFFB6B7845F85D18350EF91DE94B941B07DC3467E424B62A00641C48ED8571
B3BA9DE64AF633DBF3A3ABAA5245A0DE7D074C50D8C9977BB0948858B33C5D8C
131C48AE998AAE838E4ECD46220D5F187C0F7CB5506A8D1A603B2FBD06A6CCAF
28C19D52FDDA4D4AA17D92B93EB67A589291D969F707081BF75FFD5A18ADEEF7
A03D7B38338FF1B0BDFF225F8053E0345C48B5E462550AFF412F50BA9372FB0C
9327EEABA5E90D4F99191C1B4D65630EE07B3E6E0154D0D24194FF37ECA1F4AD
61A118E741EB16BCCBCBD9E65C7E6FB4C611685088959D59FC0DDA1F4BE8098B
3EBD9D94EB323A2910EAA25C4AFC7FCFC6ADD1235A96683E5213B5BCFD29D6E8
77572AE2C1E08DA7CAFCD9429B2B0BF78B593C01FCA50DC2BBBB1BD95BCFC0F5
892A5BF73C7A516A5F63EF5607C9CF579015BD8A611005AD122E85C48A364298
F96ED76BD008D83F4AF5F4A995E81E778278D84DD3ACE63C8CF66CA20B4FDE60
D5CB11A9AC3B65B6BA0B03561DF734A7D7E369970AF249B2C17C7355BE08935C
C6804F33FB767EE2B9A413D7E35112DB613FB76B58390666E137658BDB0B2F00
DC7BD50218FC84FE8B266E79B416A6C9716CA118187D0238D1CD4F72CE393FAB
B7F4CFA45D1B8CAE48F69905DCC06B9842714D9622347C9F99D77938D343FA95
50911AD09A7F01544F84AF0C11E39A4CC880F1485CC391C8B6090759EC639B60
BA83C7F48179F2914398C80C47F74033F8BB6A9181E7198D5AF5E95AD4EFCEEA
4D66A36A7D3CD21941C4FE9251BD4BE74A9A2DF4F763E686FE0E78C69CC69631
CF3D42D70681F6AF2F8109F2CB9DB08757F9554A2F4D5920AEDE4A5A859C3BFC
41CC34EF81DBE7DE695F92542BCF44BFC14FC957D33FD33ADED6E40CE169A58C
B9809F8BAD20D58CAFC020E28B471D36CCB1D7E41C1395578AB5CB51EB473C24
49190571E2FF25C645C45F6BA4918A72CFBF85F027C20652C406DEF8288C8E3C
89DE8B30FF2C7887110456F87FB356F691CD6D07670423F2768FB52D73EDE25A
936AACB70745CAD9FD30488744AB7015A16D5F03AB4FB6AB07AB4CE3B81AB752
6E1BC6F465E451B212A514AA3F9D2B2ECC1DAC9B4BCAB51C4C43E400ED2571FC
B419EED753E9FD0E29403BC8A29A33F0856B8BB8BF1737194727542596B428B4
B050AF98E4430331D523858F0CE09D2A502D9A52E88E2FDADA49B50A4BB81B0C
CD02ADCDA49ED08E6B9C9F2A5AD347010401CE0E769A402D1BF69E440C1CA5FB
CAEE1A766115E27F9322C5F6D0E29C50857BA6A06F1D05CDB8AEBA74D05F42D3
D93B4DCC99D939BA24389D166365E3E6DF909744BC9492E49A4D48921D3A9FDC
9302D21512EA2FE78448A65024C59E23F9670BC7EE7BE5E4C004B6D18F075FAC
C07672107BACD77E7E2516079107BCFCDECBCDEC5DA5EA1560403E49CC7C73B4
EA5C1BF669CEB3B7E5F5509DCFC397A265D0845EF122AA1D747775858CDE235E
AACB9BD5D4F57119CCE8C180022249E60E0ADB5FE6F7C273DAB78B14EE115963
2F128073D136F0F0E5264E6B0B7C42528E97828708BAF97BC33039CC3C944F0A
6AFC7B9CDFE0C7F05711457F70FC98E91BE9D7D70C690D22108672F05928377D
EFE03D4A6D1A6DDD2A7296B756A8C976152E0ACE168774208CADF7E113229153
7657DDD2DDA77129F63D99BCC1CCD4F50E0BB2D4B62DA2706910B488AC2C4CFD
33BCF5192F6EA3FAE0FCCAAFC64D8AD4D9794567B372821FAD37120B768FD43B
FD2A015E811BDD902EEA1511EE4DFF5D2258D038B2DA03E4AC39A24C08742B21
92ABE08A30193101A2D552D102E4235709D5D32F8A9302800D4C65C8A9F2CD18
76407FA0CD44BDC66A61A1BD517017C8CDAACDA7BF6CB81C87378875559660A4
E80C713A711282340EBCE7886F2B1997B734C1BA61568D6C43DAC0CB1BE9FA17
63781B14F32A0713F787F94582FB4A387C77CD67CEB841814B9488FA0BFE9E39
41C62DF21F3E62B490793F26FFDEDEE4231FA59662B1D1F8587CD609BB62BDDA
DE898AD42BD8DE2FF4C58C3A68113524E2131D666D595A09E8C7E515307ADB64
57083DAE6F18C8BB7681BCCECC6F29F91EE2BE0C55DBD44FB547773BAAB26DCF
F53DDDF67A7B0BE54A252C4BD69605176D3554495D59760550B1965BB207CC90
A8ED7AC10287A3E5
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMMI7
%!PS-AdobeFont-1.1: CMMI7 1.100
%%CreationDate: 1996 Jul 23 07:53:53
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI7) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI7 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{0 -250 1171 750}readonly def
/UniqueID 5087382 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMMI10
%!PS-AdobeFont-1.1: CMMI10 1.100
%%CreationDate: 1996 Jul 23 07:53:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-32 -250 1048 750}readonly def
/UniqueID 5087385 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMBX12
%!PS-AdobeFont-1.1: CMBX12 1.0
%%CreationDate: 1991 Aug 20 16:34:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /.notdef put
readonly def
/FontBBox{-53 -251 1139 750}readonly def
/UniqueID 5000769 def
currentdict end
currentfile eexec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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
TeXDict begin 39158280 55380996 1000 600 600
(/home/hencl/math/new/Odeslane/HKZ/together2.dvi) @start
/Fa 133[44 44 3[44 44 44 2[44 44 44 44 44 44 44 44 44
44 44 44 1[44 1[44 32[44 17[44 46[{ TeX09fbbfacEncoding ReEncodeFont }
21 83.022 /CMTT10 rf /Fb 149[23 106[{ TeXbbad153fEncoding ReEncodeFont }
1 83.022 /CMSY10 rf /Fc 198[48 48 48 48 48 48 48 48 48
48 48[{ TeXf7b6d320Encoding ReEncodeFont }10 83.022 /CMBX10
rf /Fd 255[48{ TeXbbad153fEncoding ReEncodeFont }1 49.8132
/CMSY6 rf /Fe 252[77 3[{}1 99.6264 /MSAM10 rf /Ff 173[33
82[{}1 66.4176 /TeX-cmex8 rf /Fg 173[48 82[{}1 66.4176
/MSBM7 rf /Fh 135[35 44 2[24 29 29 28 32 1[38 4[22 2[30
4[34 27[45 2[46 46 3[32 26[29 12[37 7[32 1[40 11[{
TeXaae443f0Encoding ReEncodeFont }19 49.8132 /CMMI6
rf /Fi 129[30 73[30 30 30 30 5[47 1[24 24 40[{
TeXf7b6d320Encoding ReEncodeFont }8 49.8132 /CMR6 rf
/Fj 149[20 2[35 35 35[46 15[47 71 19 14[71 11[55 55 19[55{
TeXbbad153fEncoding ReEncodeFont }11 66.4176 /CMSY8
rf /Fk 144[66 66 18[111 55 1[144 5[47 19[89 1[89 1[89
1[89 15[80 6[79 79 12[73 73 59 59 3[33 10[46 46{}20 99.6264
/CMEX10 rf /Fl 165[47 1[58 1[58 58 55 43 57 60 52 60
58 1[48 60 39 28 58 60 50 52 59 55 54 58 7[38 38 38 38
38 38 38 38 38 38 3[21 44[{ TeXf7b6d320Encoding ReEncodeFont }34
74.7198 /CMR9 rf /Fm 134[40 1[55 38 45 28 34 35 1[42
42 47 68 21 38 25 25 42 38 25 38 42 38 38 42 6[51 4[62
59 47 61 64 56 2[74 52 64 44 32 1[64 54 56 63 59 58 62
18[25 30 32[47 12[{ TeX74afc74cEncoding ReEncodeFont }45
83.022 /CMTI10 rf /Fn 129[35 14[35 2[20 4[35 3[31 37[55
2[20 5[35 35 35 35 35 4[55 1[27 27 29[51 10[{
TeXf7b6d320Encoding ReEncodeFont }16 66.4176 /CMR8 rf
/Fo 141[83 3[50 3[28 2[50 50 35[65 11[0 3[66 100 7[100
7[100 6[77 1[77 2[77 77 5[50 12[28 77{
TeXbbad153fEncoding ReEncodeFont }18 99.6264 /CMSY10
rf /Fp 134[48 55 70 1[56 35 46 44 43 49 1[58 1[29 2[33
56 1[48 45 51 42 41 51 9[92 1[66 1[60 4[78 94 66 83 54
2[77 63 72 81 70 74 73 51 1[76 49 76 27 27 23[46 3[58
3[50 3[59 57 3[48 2[43 51 55 62 11[{ TeXaae443f0Encoding ReEncodeFont }
50 99.6264 /CMMI12 rf /Fq 134[35 40 51 1[41 25 33 32
32 36 1[43 1[21 2[24 41 1[34 2[31 30 37 11[48 1[43 4[56
68 1[60 39 4[52 1[50 53 53 37 1[55 35 55 20 24[33 12[41
6[31 36 40 45 11[{ TeXaae443f0Encoding ReEncodeFont }38
66.4176 /CMMI8 rf /Fr 173[72 82[{}1 99.6264 /MSBM10 rf
/Fs 133[40 47 45 65 45 52 32 40 41 45 50 50 55 80 25
1[30 30 50 45 30 45 50 45 45 50 9[97 2[70 55 2[66 1[72
1[61 1[51 8[72 11[50 1[50 50 50 2[30 35 30 2[40 40 27[55
60 11[{ TeX74afc74cEncoding ReEncodeFont }44 99.6264
/CMTI12 rf /Ft 135[61 83 1[61 59 46 60 1[56 63 61 74
51 2[30 61 64 53 56 62 59 1[61 9[110 4[80 1[74 6[40 3[74
3[81 65[{ TeX0ef0afcaEncoding ReEncodeFont }25 99.6264
/CMCSC10 rf /Fu 128[49 49 3[43 51 51 70 51 54 38 38 38
51 54 49 54 81 27 51 30 27 54 49 30 43 54 43 54 49 3[27
1[27 3[100 73 73 70 54 72 1[66 76 73 89 61 76 50 35 73
77 64 66 75 70 69 73 3[76 1[27 27 49 49 49 49 49 49 49
49 49 49 1[27 33 27 76 1[38 38 27 5[27 13[49 4[81 1[54
57 70 1[70 8[{ TeXf7b6d320Encoding ReEncodeFont }79 99.6264
/CMR12 rf /Fv 143[34 9[32 102[{ TeXaae443f0Encoding ReEncodeFont }2
58.1154 /CMMI7 rf /Fw 153[41 25[57 1[46 12[42 2[23 35[50
22[{ TeXaae443f0Encoding ReEncodeFont }6 83.022 /CMMI10
rf /Fx 128[46 5[51 51 1[51 1[49 38 50 1[46 53 51 62 43
53 1[25 51 1[44 46 52 49 48 51 11[68 1[51 2[62 70 68
82 2[47 34 2[59 1[69 1[64 68 11[46 46 46 1[46 46 1[27
31 27 2[36 36 40[{ TeX0ef0afcaEncoding ReEncodeFont }43
83.022 /CMCSC10 rf /Fy 128[42 3[42 37 44 44 60 44 46
32 33 33 44 46 42 46 69 23 44 1[23 46 42 25 37 46 37
46 42 3[23 1[23 51 62 62 85 62 62 60 46 61 65 57 65 62
76 52 65 43 30 62 65 54 57 63 60 59 62 3[65 2[23 42 42
42 42 42 42 42 42 42 42 1[23 28 23 2[32 32 23 18[42 42
6[46 48 11[{ TeXf7b6d320Encoding ReEncodeFont }77 83.022
/CMR10 rf /Fz 134[59 59 2[62 44 44 46 1[62 56 62 93 31
59 1[31 62 56 34 51 1[50 1[54 10[85 86 78 62 84 84 77
84 88 106 67 1[58 42 88 88 70 74 86 81 80 85 6[31 1[56
56 56 56 56 56 56 56 2[31 46[{ TeXf7b6d320Encoding ReEncodeFont }50
99.6264 /CMBX12 rf end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 600dpi
TeXDict begin
%%PaperSize: A4
end
HPSdict begin
/TargetAnchors
0 dict dup begin
end targetdump-hook def end
TeXDict begin
%%EndSetup
%%Page: 1 1
TeXDict begin HPSdict begin 1 0 bop 556 758 a Fz(MAPPINGS)47
b(OF)i(FINITE)f(DISTOR)-9 b(TION:)47 b(REVERSE)860 874
y(INEQUALITIES)g(F)m(OR)i(THE)e(JA)m(COBIAN)695 1123
y Fy(ST)-7 b(ANISLA)e(V)28 b(HENCL,)g(PEKKA)e(K)n(OSKELA)g(AND)j(XIA)n
(O)e(ZHONG)685 1554 y Fx(Abstra)n(ct.)41 b Fy(Let)27
b Fw(f)36 b Fy(b)r(e)27 b(a)g(non-constan)n(t)f(mapping)h(of)g
(\014nite)h(distortion.)685 1654 y(W)-7 b(e)23 b(establish)f(in)n
(tegrabilit)n(y)g(results)g(on)g(1)p Fw(=J)2123 1666
y Fv(f)2188 1654 y Fy(b)n(y)g(studying)h(w)n(eigh)n(ts)f(that)685
1753 y(satisfy)k(a)g(w)n(eak)g(rev)n(erse)f(H\177)-42
b(older)26 b(inequalit)n(y)g(where)g(the)h(asso)r(ciated)f(con-)685
1853 y(stan)n(t)h(can)h(dep)r(end)g(on)g(the)g(ball)f(in)h(question.)37
b(Here)28 b Fw(J)2459 1865 y Fv(f)2530 1853 y Fy(is)f(the)h(Jacobian)
685 1953 y(determinan)n(t)f(of)h Fw(f)t(:)1479 2205 y
Fu(1.)49 b Ft(Intr)n(oduction)486 2379 y Fu(In)33 b(this)h(pap)s(er,)g
(w)m(e)g(consider)h(the)f(class)g(of)f Fs(mappings)h(of)i(\014nite)f
(distortion)p Fu(.)386 2495 y(Let)c(\012)h(b)s(e)f(a)g(domain)h(in)f
Fr(R)1402 2459 y Fq(n)1480 2495 y Fu(\()p Fp(n)d Fo(\025)g
Fu(2\).)43 b(W)-8 b(e)31 b(sa)m(y)i(that)e(a)g(mapping)g
Fp(f)39 b Fu(:)27 b(\012)h Fo(!)g Fr(R)3328 2459 y Fq(n)386
2618 y Fu(has)j(\014nite)f(distortion)h(if)f Fp(f)41
b Fu(b)s(elongs)31 b(to)f(the)g(Sob)s(olev)h(space)g
Fp(W)2778 2571 y Fn(1)p Fq(;)p Fn(1)2764 2646 y(lo)r(c)2872
2618 y Fu(\(\012)p Fp(;)17 b Fr(R)3096 2582 y Fq(n)3143
2618 y Fu(\);)31 b(the)386 2735 y(Jacobian)24 b(determinan)m(t)h
Fp(J)1380 2750 y Fq(f)1452 2735 y Fu(=)j(det)q(\()p Fp(D)s(f)11
b Fu(\))22 b(of)h Fp(f)34 b Fu(\()p Fp(D)s(f)g Fu(b)s(eing)24
b(the)g(di\013eren)m(tial)g(ma-)386 2851 y(trix)31 b(of)g
Fp(f)11 b Fu(\))31 b(is)g(lo)s(cally)g(in)m(tegrable)h(in)g(\012,)g
(and)f(there)g(is)h(a)f(measurable)h(function)386 2967
y Fp(K)7 b Fu(\()p Fp(x)p Fu(\))28 b Fo(\025)g Fu(1,)h(\014nite)h
(almost)f(ev)m(erywhere,)j(suc)m(h)e(that)f Fp(f)39 b
Fu(satis\014es)30 b(the)f(distortion)386 3083 y(inequalit)m(y)770
3248 y Fo(j)p Fp(D)s(f)11 b Fu(\()p Fp(x)p Fu(\))p Fo(j)1100
3206 y Fq(n)1174 3248 y Fo(\024)28 b Fp(K)7 b Fu(\()p
Fp(x)p Fu(\))p Fp(J)1554 3263 y Fq(f)1600 3248 y Fu(\()p
Fp(x)p Fu(\))p Fp(;)212 b Fu(for)32 b(almost)h(ev)m(ery)h
Fp(x)f Fu(in)g(\012.)486 3412 y(Notice)d(that)g(when)h
Fp(K)7 b Fu(\()p Fp(x)p Fu(\))31 b(is)g(b)s(ounded,)g(the)g(ab)s(o)m(v)
m(e)f(conditions)i(imply)f(that)386 3528 y(the)50 b(di\013eren)m(tial)i
(of)d Fp(f)61 b Fu(is)50 b(lo)s(cally)h Fp(n)p Fu(-in)m(tegrable,)k
(and)50 b Fp(f)60 b Fu(is)51 b(a)f(mapping)g(of)386 3644
y(b)s(ounded)38 b(distortion)g(in)g(the)g(sense)h(of)e(Reshetn)m(y)m
(ak)j([31)o(],)f(or)e(a)h(quasiregular)386 3760 y(mapping)d([32].)49
b(These)36 b(mappings)g(are)e(con)m(tin)m(uous)i(\(i.e.)50
b(ha)m(v)m(e)36 b(a)e(con)m(tin)m(uous)386 3877 y(represen)m(tativ)m
(e\))45 b(and)d(either)h(constan)m(t)f(or)g(b)s(oth)g(discrete)h(and)g
(op)s(en.)71 b(This)386 3993 y(means)33 b(that)f(the)h(pre-image)g(of)e
(a)h(p)s(oin)m(t)h(cannot)f(accum)m(ulate)i(in)f(\012)f(and)h(that)386
4109 y Fp(f)39 b Fu(maps)28 b(op)s(en)h(sets)g(to)f(op)s(en)g(sets.)43
b(All)29 b(these)g(three)g(prop)s(erties)g(ma)m(y)g(fail)e(for)h(a)386
4225 y(general)i(mapping)g(of)e(\014nite)j(distortion,)f(but)g(sharp)g
(in)m(tegrabilit)m(y)g(criteria)g(for)386 4342 y(the)k(v)-5
b(alidit)m(y)35 b(of)f(these)h(prop)s(erties)f(ha)m(v)m(e)i(recen)m
(tly)g(b)s(een)e(established,)j(see)e([4],)386 4458 y([10],)j([11)o(],)
h([14)o(],)f([18],)g([19],)g([21],)g([24)o(],)h([25)o(],)f([26],)g
([28].)57 b(In)37 b(the)g(setting)h(con-)386 4574 y(sidered)c(in)f
(this)g(pap)s(er)g(our)f(mapping)h(will)g(ha)m(v)m(e)h(all)f(these)h
(three)f(prop)s(erties.)486 4690 y(The)e(distortion)h(inequalit)m(y)g
(implies)h(that)d Fp(J)2171 4705 y Fq(f)2217 4690 y Fu(\()p
Fp(x)p Fu(\))e Fo(\025)g Fu(0)i(almost)h(ev)m(erywhere,)386
4807 y(and)h(one)h(can)g(giv)m(e)g(examples)i(where)e
Fp(J)1889 4822 y Fq(f)1967 4807 y Fu(v)-5 b(anishes)34
b(in)f(a)f(set)h(of)f(p)s(ositiv)m(e)i(mea-)386 4923
y(sure)29 b(for)e(a)h(non-constan)m(t)g(mapping.)43 b(V)-8
b(ery)28 b(recen)m(tly)-8 b(,)31 b(Kosk)m(ela)e(and)f(Mal)q(\023)-50
b(y)29 b([27])386 5039 y(pro)m(v)m(ed,)49 b(under)c(sharp)f(in)m
(tegrabilit)m(y)i(conditions)f(on)f Fp(K)r(;)g Fu(that,)j(unless)f
Fp(f)55 b Fu(is)386 5155 y(constan)m(t,)39 b Fp(J)866
5170 y Fq(f)911 5155 y Fu(\()p Fp(x)p Fu(\))c Fp(>)f
Fu(0)j(almost)g(ev)m(erywhere.)59 b(The)37 b(conditions)h(are)f(the)g
(same)386 5271 y(as)c(for)f(discreteness)j(and)e(op)s(enness.)p
386 5365 499 4 v 486 5459 a Fy(2000)27 b Fm(Mathematics)32
b(Subje)l(ct)d(Classi\014c)l(ation.)43 b Fy(30C65,)26
b(26B10.)486 5556 y Fm(Key)j(wor)l(ds)h(and)g(phr)l(ases.)44
b Fy(Mapping)26 b(of)i(\014nite)g(distortion,)e(Jacobian,)g(rev)n(erse)
f(inequal-)386 5656 y(ities,)j(w)n(eigh)n(ts.)1861 5756
y Fl(1)p eop end end
%%Page: 2 2
TeXDict begin HPSdict begin 2 1 bop 386 293 a Fl(2)360
b(ST)-6 b(ANISLA)d(V)23 b(HENCL,)j(PEKKA)f(K)n(OSKELA)f(AND)h(XIA)n(O)f
(ZHONG)486 492 y Fu(In)46 b(the)g(case)h(of)e(quasiregular)i(mappings,)
j(a)c(m)m(uc)m(h)h(stronger)f(statemen)m(t)386 608 y(holds.)h(Indeed,)
36 b(relying)e(on)g(the)g(fundamen)m(tal)h(w)m(ork)f(of)g(Gehring)f
([9],)h(Elcrat)386 724 y(and)f(Mey)m(ers)h([5])f(and)g(Martio)f([29])g
(pro)m(v)m(ed)i(the)f(rev)m(erse)i(H\177)-49 b(older)33
b(inequalit)m(y)1155 937 y(\()1246 870 y(1)p 1203 914
135 4 v 1203 1006 a Fo(j)p Fp(B)5 b Fo(j)1364 802 y Fk(Z)1419
1027 y Fq(B)1497 937 y Fp(J)1560 890 y Fq(p)1551 965
y(f)1616 937 y Fp(dx)p Fu(\))1760 896 y Fn(1)p Fq(=p)1898
937 y Fo(\024)28 b Fp(C)2133 870 y Fu(1)p 2090 914 V
2090 1006 a Fo(j)p Fp(B)5 b Fo(j)2251 802 y Fk(Z)2306
1027 y Fq(B)2384 937 y Fp(J)2438 952 y Fq(f)2500 937
y Fp(dx)386 1156 y Fu(for)29 b(the)h(Jacobian)f(of)g(a)g(quasiregular)i
(mapping)f Fp(f)11 b Fu(.)42 b(Here)30 b Fp(B)j Fo(\032)28
b Fu(\012)2870 1120 y Fj(0)2921 1156 y Fo(\032\032)h
Fu(\012)p Fp(;)h Fu(is)g(a)386 1272 y(ball)d(and)h(the)f(constan)m(t)i
Fp(C)34 b Fu(will)28 b(in)f(general)h(dep)s(end)h(on)e(\012)2562
1236 y Fj(0)2613 1272 y Fu(and)g(on)g(the)h(b)s(eha)m(v-)386
1388 y(ior)k(of)h Fp(f)43 b Fu(on)33 b(\012)941 1352
y Fj(0)997 1388 y Fu(\(the)g(maximal)h(m)m(ultiplicit)m(y)h
Fp(N)10 b Fu(\()p Fp(f)5 b(;)17 b Fu(\012)2418 1352 y
Fj(0)2442 1388 y Fu(\)\),)33 b(and)g Fp(p)28 b(>)g Fu(1)k(dep)s(ends)
386 1505 y(on)38 b Fp(n)f Fu(and)h(the)g Fp(L)1056 1468
y Fj(1)1131 1505 y Fu(-norm)g(of)f Fp(K)7 b Fu(\()p Fp(x)p
Fu(\))p Fp(:)38 b Fu(Th)m(us)h Fp(J)2132 1520 y Fq(f)2215
1505 y Fu(is)g(\(lo)s(cally\))e(a)h(Muc)m(k)m(enhoupt)386
1621 y Fp(A)459 1636 y Fj(1)534 1621 y Fu(-w)m(eigh)m(t)33
b([30],)g(and)f(so)1578 1741 y Fp(J)1641 1700 y Fj(\000)p
Fq(")1632 1769 y(f)1760 1741 y Fo(2)c Fp(L)1920 1700
y Fn(1)1920 1766 y(lo)r(c)2013 1741 y Fu(\(\012)2121
1700 y Fj(0)2145 1741 y Fu(\))386 1889 y(for)k(some)h
Fp(")28 b(>)f Fu(0,)33 b(see)g([3].)486 2005 y(One)46
b(is)h(then)g(motiv)-5 b(ated)47 b(to)f(consider)i(the)f(case)h(of)e
(mappings)h(of)f(\014nite)386 2121 y(distortion,)d(and)e(to)g(pro)m(v)m
(e)h(some)f(kind)h(of)f(an)f(in)m(tegrabilit)m(y)j(result)e(on)g
Fp(J)3253 2080 y Fj(\000)p Fn(1)3244 2149 y Fq(f)3348
2121 y Fp(;)386 2239 y Fu(based)32 b(on)e(a)h(suitable)h(rev)m(erse)h
(inequalit)m(y)f(of)f(the)g(Jacobian.)43 b(T)-8 b(o)31
b(this)g(end,)h(let)386 2357 y Fp(f)38 b Fo(2)28 b Fp(W)672
2310 y Fn(1)p Fq(;)p Fn(1)658 2385 y(lo)r(c)766 2357
y Fu(\(\012)p Fp(;)17 b Fr(R)990 2321 y Fq(n)1037 2357
y Fu(\))28 b(b)s(e)f(a)g(mapping)h(with)g(exp)s(onen)m(tially)h(in)m
(tegrable)f(distortion)386 2473 y Fp(K)7 b Fu(\()p Fp(x)p
Fu(\),)27 b(that)e(is,)i(exp)q(\()p Fp(\014)6 b(K)h Fu(\))27
b Fo(2)h Fp(L)1547 2437 y Fn(1)1547 2499 y(lo)r(c)1640
2473 y Fu(\(\012\))d(for)f(some)i Fp(\014)34 b(>)27 b
Fu(0.)41 b(Then)26 b Fp(f)35 b Fu(is)26 b(con)m(tin)m(uous)386
2590 y([18],)j(and)g(either)h(constan)m(t)f(or)g(b)s(oth)f(discrete)j
(and)d(op)s(en)h([24].)42 b(Let)29 b(us)h(recall)f(a)386
2706 y(higher)36 b(in)m(tegrabilit)m(y)h(result)g(from)e([6,)i(Theorem)
g(1.1])e(\(see)i([1],)g([16)o(],)g([17)o(])f(for)386
2822 y(the)d(earlier)g(results\))780 3035 y Fo(\000)764
2899 y Fk(Z)819 3125 y Fq(B)897 3035 y Fp(J)951 3050
y Fq(f)1013 3035 y Fu(log)1139 2992 y Fq(\013)1188 2924
y Fk(\020)1248 3035 y Fp(e)22 b Fu(+)1504 2968 y Fp(J)1558
2983 y Fq(f)p 1423 3012 262 4 v 1423 3104 a Fo(\000)1425
3024 y Fk(R)1472 3139 y Fn(2)p Fq(B)1585 3104 y Fp(J)1639
3119 y Fq(f)1695 2924 y Fk(\021)1782 3035 y Fp(dx)28
b Fo(\024)g Fp(C)7 b Fu(\()p Fo(\000)2120 2899 y Fk(Z)2175
3125 y Fn(2)p Fq(B)2288 3035 y Fu(exp)q(\()p Fp(\014)f(K)h
Fu(\)\))22 b Fo(\000)2714 2899 y Fk(Z)2769 3125 y Fn(2)p
Fq(B)2882 3035 y Fp(J)2936 3050 y Fq(f)386 3260 y Fu(for)34
b(ev)m(ery)j(ball)e Fp(B)40 b Fu(suc)m(h)d(that)e(2)p
Fp(B)h Fo(\032\032)d Fu(\012.)51 b(In)m(v)m(oking)37
b(the)e(doubling)h(prop)s(ert)m(y)386 3377 y(of)d(the)g(Jacobian)h(of)e
(a)h(mapping)h(of)e(\014nite)i(distortion)g(\(see)g(Lemma)g(5.2\))f
(and)386 3493 y(using)g(the)g(Jensen)h(inequalit)m(y)h(w)m(e)f
(conclude)g(that)386 3700 y(\(1.1\))307 b Fo(\000)878
3565 y Fk(Z)933 3790 y Fq(B)1011 3700 y Fp(J)1065 3715
y Fq(f)1127 3700 y Fu(log)1253 3657 y Fq(\013)1303 3590
y Fk(\020)1362 3700 y Fp(e)22 b Fu(+)1734 3633 y Fp(J)1788
3648 y Fq(f)p 1537 3677 494 4 v 1537 3769 a Fo(\000)1539
3689 y Fk(R)1586 3804 y Fn(4)p Fq(B)1700 3769 y Fp(F)36
b Fo(\000)1807 3689 y Fk(R)1854 3804 y Fq(B)1931 3769
y Fp(J)1985 3784 y Fq(f)2040 3590 y Fk(\021)2128 3700
y Fo(\024)28 b Fu(\()p Fo(\000)2255 3565 y Fk(Z)2310
3790 y Fn(4)p Fq(B)2423 3700 y Fp(F)14 b Fu(\))2538 3659
y Fn(2)2599 3700 y Fo(\000)2607 3565 y Fk(Z)2662 3790
y Fq(B)2740 3700 y Fp(J)2794 3715 y Fq(f)2839 3700 y
Fp(;)386 3931 y Fu(where)38 b Fp(F)48 b Fu(=)35 b Fp(C)23
b Fu(exp)q(\()p Fp(C)7 b(K)g Fu(\))37 b(is)g(an)f(in)m(tegrable)i
(function.)56 b(Notice)38 b(that)e(\(1.1\))g(is)386 4047
y(sort)j(of)f(a)h(rev)m(erse)i(inequalit)m(y)-8 b(.)64
b(If)39 b(the)g(function)h Fp(F)52 b Fu(is)39 b(b)s(ounded,)j(then)d
(\(1.1\))386 4164 y(implies)c(that)e Fp(J)984 4179 y
Fq(f)1063 4164 y Fu(is)h(an)f Fp(A)1371 4179 y Fj(1)1446
4164 y Fu(-w)m(eigh)m(t)h([8],)g(and)f(th)m(us)i Fp(J)2421
4122 y Fj(\000)p Fq(")2412 4191 y(f)2546 4164 y Fu(is)f(lo)s(cally)g
(in)m(tegrable)386 4282 y(for)23 b(some)i Fp(")i(>)h
Fu(0.)40 b(Of)24 b(course,)j(b)m(y)e(our)e(assumption)j(on)d(the)i
(distortion)f(function)386 4398 y Fp(K)7 b Fu(\()p Fp(x)p
Fu(\),)33 b(w)m(e)g(merely)h(ha)m(v)m(e)g(that)e Fp(F)46
b Fu(is)33 b(in)m(tegrable.)44 b(This)34 b(leads)f(us)g(to)f(the)g
(study)386 4514 y(of)h(non-negativ)m(e)i(w)m(eigh)m(ts)h(that)d
(satisfy)i(a)f(rev)m(erse)i(inequalit)m(y)g(suc)m(h)f(as)f(\(1.1\),)386
4630 y(where)39 b(the)e(constan)m(t)i(is)f(allo)m(w)m(ed)g(to)f(dep)s
(end)i(on)e(the)h(ball)f(in)h(question.)59 b(F)-8 b(or)386
4747 y(the)33 b(w)m(eigh)m(ts)h(as)f(ab)s(o)m(v)m(e,)h(w)m(e)f(will)g
(pro)m(v)m(e)h(that)f(there)g(is)g Fp(\015)g(>)27 b Fu(0)33
b(suc)m(h)h(that)386 4907 y(\(1.2\))764 b(log)1477 4864
y Fq(\015)1538 4907 y Fu(log)q(\()p Fp(e)22 b Fu(+)g(1)p
Fp(=J)2019 4922 y Fq(f)2064 4907 y Fu(\))28 b Fo(2)g
Fp(L)2290 4866 y Fn(1)2290 4932 y(lo)r(c)2383 4907 y
Fp(;)386 5067 y Fu(see)45 b(Theorem)g(3.8.)76 b(This)45
b(is)f(an)g(essen)m(tially)i(sharp)e(conclusion)i(for)d(suc)m(h)i(a)386
5184 y(w)m(eigh)m(t,)38 b(and)e(th)m(us)h(no)e(b)s(etter)i(conclusion)g
(can)f(b)s(e)g(dra)m(wn)g(from)g(the)g(\(sharp\))386
5300 y(inequalit)m(y)e(\(1.1\).)486 5416 y(W)-8 b(e)45
b(exp)s(ect)i(that)d(radial)h(mappings)h(exhibit)h(the)e(extreme)i(in)m
(tegrabilit)m(y)386 5532 y(prop)s(erties)41 b(of)f Fp(J)1034
5491 y Fj(\000)p Fn(1)1025 5560 y Fq(f)1129 5532 y Fu(.)67
b(The)41 b(analysis)h(of)e(suc)m(h)i(mappings)f(\(see)h(Section)f(6)f
(b)s(e-)386 5656 y(lo)m(w\))c(indicates)i(that)d(\(1.2\))h(is)g(far)f
(from)h(optimal.)54 b(W)-8 b(e)36 b(are)g(th)m(us)h(led)f(to)g(lo)s(ok)
p eop end end
%%Page: 3 3
TeXDict begin HPSdict begin 3 2 bop 977 293 a Fl(REVERSE)32
b(INEQUALITIES)g(F)n(OR)h(THE)g(JA)n(COBIAN)552 b(3)386
492 y Fu(for)40 b(rev)m(erse)i(inequalities)g(di\013eren)m(t)g(from)e
(\(1.1\).)66 b(W)-8 b(e)40 b(establish)i(the)f(rev)m(erse)386
608 y(inequalit)m(y)1330 785 y Fo(\000)1314 649 y Fk(Z)1369
875 y Fq(B)1447 785 y Fp(J)1501 800 y Fq(f)1574 785 y
Fo(\024)28 b Fp(c)p Fu(\()p Fo(\000)1743 649 y Fk(Z)1798
875 y Fn(2)p Fq(B)1911 785 y Fp(F)14 b Fu(\))2026 744
y Fq(t)2055 785 y Fu(\()p Fo(\000)2077 649 y Fk(Z)2132
875 y Fq(B)2210 785 y Fp(J)2273 738 y Fq(q)2264 813 y(f)2312
785 y Fu(\))2360 711 y Fi(1)p 2359 723 31 3 v 2359 765
a Fh(q)2404 785 y Fp(;)386 996 y Fu(where)37 b Fp(F)48
b Fo(2)34 b Fp(L)948 960 y Fn(1)948 1022 y(lo)r(c)1041
996 y Fp(;)17 b(t)34 b(>)f Fu(0)j(and)g(0)e Fp(<)g(q)j(<)d
Fu(1,)j(and)f(a)g(certain)h(v)-5 b(arian)m(t)36 b(of)g(it.)54
b(W)-8 b(e)386 1112 y(again)31 b(analyze)i(the)f(corresp)s(onding)g(w)m
(eigh)m(ts)i(and)d(pro)m(v)m(e)i(essen)m(tially)i(optimal)386
1228 y(results)f(for)e(them.)486 1345 y(The)j(follo)m(wing)f(theorem)h
(giv)m(es)g(our)f(con)m(tribution)h(to)f(the)h(in)m(tegrabilit)m(y)g
(of)386 1461 y(1)p Fp(=J)538 1476 y Fq(f)615 1461 y Fu(under)f(the)f
(exp)s(onen)m(tial)h(in)m(tegrabilit)m(y)g(assumption)g(on)e
Fp(K)r(:)386 1653 y Fz(Theorem)38 b(1.1.)k Fs(L)-5 b(et)35
b Fu(\012)28 b Fo(\032)g Fr(R)1520 1617 y Fq(n)1602 1653
y Fs(b)-5 b(e)35 b(a)f(domain)g(and)g(let)h Fp(f)k Fo(2)28
b Fp(W)2768 1606 y Fn(1)p Fq(;)p Fn(1)2754 1681 y(lo)r(c)2862
1653 y Fu(\(\012)p Fp(;)17 b Fr(R)3086 1617 y Fq(n)3133
1653 y Fu(\))34 b Fs(b)-5 b(e)35 b(a)386 1769 y(mapping)e(of)i
(\014nite)g(distortion.)386 1885 y Fu(\()p Fp(i)p Fu(\))40
b Fs(Supp)-5 b(ose)39 b(that)h Fp(n)d Fo(\025)g Fu(3)i
Fs(and)g(that)h(ther)-5 b(e)40 b(is)f Fp(\014)k(>)36
b Fu(0)j Fs(such)h(that)g Fu(exp)q(\()p Fp(\014)6 b(K)h
Fu(\))36 b Fo(2)386 2002 y Fp(L)452 1965 y Fn(1)452 2028
y(lo)r(c)545 2002 y Fu(\(\012\))p Fs(.)45 b(Then)34 b(ther)-5
b(e)35 b(is)f Fp(s)28 b Fu(=)f Fp(C)7 b Fu(\()p Fp(n)p
Fu(\))28 b Fp(>)g Fu(1)34 b Fs(such)h(that)386 2222 y
Fu(\(1.3\))548 b(exp)1284 2141 y Fk(\000)1329 2222 y
Fu(log)1455 2179 y Fq(s)1509 2222 y Fu(log)q(\()p Fp(e)22
b Fu(+)1939 2154 y(1)p 1848 2199 231 4 v 1848 2290 a
Fp(J)1902 2305 y Fq(f)1947 2290 y Fu(\()p Fp(x)p Fu(\))2089
2222 y(\))2127 2141 y Fk(\001)2200 2222 y Fo(2)28 b Fp(L)2360
2180 y Fn(1)2360 2246 y(lo)r(c)2453 2222 y Fu(\(\012\))p
Fp(:)386 2455 y Fu(\()p Fp(ii)p Fu(\))41 b Fs(Supp)-5
b(ose)39 b(that)i Fp(n)d Fu(=)g(2)p Fs(,)j Fp(\015)i(>)37
b Fu(0)j Fs(and)g(let)g Fu(\012)2183 2419 y Fj(0)2245
2455 y Fo(\032\032)f Fu(\012)h Fs(b)-5 b(e)40 b(a)h(\014xe)-5
b(d)39 b(op)-5 b(en)40 b(set.)386 2571 y(Then)k(ther)-5
b(e)45 b(is)g(a)g(\014nite)g(c)-5 b(onstant)44 b Fp(\014)53
b Fu(=)46 b Fp(C)7 b Fu(\()p Fp(\015)e(;)17 b(N)10 b
Fu(\()p Fp(f)5 b(;)17 b Fu(\012)2511 2535 y Fj(0)2535
2571 y Fu(\)\))46 b Fp(>)h Fu(0)e Fs(such)f(that)i(if)386
2687 y Fu(exp)q(\()p Fp(\014)6 b(K)h Fu(\))27 b Fo(2)h
Fp(L)949 2651 y Fn(1)989 2687 y Fu(\(\012)1097 2651 y
Fj(0)1121 2687 y Fu(\))35 b Fs(then)386 2906 y Fu(\(1.4\))724
b(log)1437 2864 y Fq(\015)1481 2906 y Fu(\()p Fp(e)22
b Fu(+)1785 2839 y(1)p 1694 2884 V 1694 2975 a Fp(J)1748
2990 y Fq(f)1794 2975 y Fu(\()p Fp(x)p Fu(\))1935 2906
y(\))27 b Fo(2)i Fp(L)2161 2865 y Fn(1)2161 2931 y(lo)r(c)2253
2906 y Fu(\(\012)2361 2865 y Fj(0)2385 2906 y Fu(\))p
Fp(:)486 3146 y Fu(It)45 b(seems)i(lik)m(ely)f(that)f(Theorem)i(1.1)d
(allo)m(ws)i(for)f(an)f(analog,)k(where)e(the)386 3262
y(exp)s(onen)m(tial)e(in)m(tegrabilit)m(y)g(is)f(sligh)m(tly)h(relaxed)
g(to)e(the)h(conditions)h(in)f([26].)386 3378 y(W)-8
b(e)33 b(w)m(ould)g(lik)m(e)h(to)e(see)i(suc)m(h)g(an)f(impro)m(v)m
(emen)m(t.)486 3496 y(If)38 b(w)m(e)h(a)f(priori)g(assume,)k(sa)m(y)-8
b(,)41 b(that)d Fp(f)48 b Fo(2)38 b Fp(W)2186 3449 y
Fn(1)p Fq(;n)2172 3524 y Fn(lo)r(c)2287 3496 y Fu(\(\012)p
Fp(;)17 b Fr(R)2511 3460 y Fq(n)2558 3496 y Fu(\))p Fp(;)38
b Fu(then)h(already)g(the)386 3612 y Fp(p)p Fu(-in)m(tegrabilit)m(y)e
(of)f(its)h(distortion)g(function)g Fp(K)7 b Fu(\()p
Fp(x)p Fu(\))37 b(for)f(some)h Fp(p)d(>)g(n)25 b Fo(\000)h
Fu(1)36 b(im-)386 3729 y(plies)c(discreteness)i(and)e(op)s(enness)g
(for)f(a)g(non-constan)m(t)g(mapping.)44 b(Th)m(us)32
b(one)386 3845 y(exp)s(ects)46 b(for)e(a)g(v)m(ersion)i(of)e(Theorem)i
(1.1)e(under)i(suc)m(h)g(assumptions.)81 b(Our)386 3961
y(tec)m(hniques)35 b(also)e(w)m(ork)g(in)g(this)g(case)h(and)f(giv)m(e)
g(the)g(follo)m(wing)g(result.)386 4143 y Fz(Theorem)42
b(1.2.)h Fs(L)-5 b(et)38 b Fu(\012)33 b Fo(\032)h Fr(R)1539
4107 y Fq(n)1624 4143 y Fs(b)-5 b(e)37 b(a)g(domain)g(and)g(let)h
Fp(")33 b(>)f Fu(0)p Fs(.)53 b(Supp)-5 b(ose)37 b(that)386
4261 y Fp(f)61 b Fo(2)50 b Fp(W)717 4214 y Fn(1)p Fq(;n)703
4289 y Fn(lo)r(c)819 4261 y Fu(\(\012)p Fp(;)17 b Fr(R)1043
4225 y Fq(n)1090 4261 y Fu(\))47 b Fs(is)f(a)h(mapping)f(of)g(\014nite)
h(distortion)g(and)f(supp)-5 b(ose)46 b(that)386 4381
y Fp(K)35 b Fo(2)28 b Fp(L)664 4340 y Fq(n)p Fj(\000)p
Fn(1+)p Fq(")664 4409 y Fn(lo)r(c)889 4381 y Fu(\(\012\))p
Fs(.)45 b(Then)34 b(ther)-5 b(e)35 b(is)f Fp(\015)f Fu(=)28
b Fp(\015)5 b Fu(\()p Fp(n)p Fu(\))27 b Fp(>)h Fu(0)35
b Fs(such)f(that)386 4603 y Fu(\(1.5\))664 b(log)1377
4560 y Fq(\015)1438 4603 y Fu(log)q(\()p Fp(e)22 b Fu(+)1868
4535 y(1)p 1777 4580 V 1777 4671 a Fp(J)1831 4686 y Fq(f)1877
4671 y Fu(\()p Fp(x)p Fu(\))2018 4603 y(\))27 b Fo(2)i
Fp(L)2244 4562 y Fn(1)2244 4627 y(lo)r(c)2336 4603 y
Fu(\(\012\))p Fp(:)486 4842 y Fu(As)44 b(discussed)j(ab)s(o)m(v)m(e,)g
(the)e(conclusions)g(w)m(e)g(dra)m(w)g(from)f(the)g(rev)m(erse)i(in-)
386 4959 y(equalities)32 b(are)e(essen)m(tially)i(optimal.)43
b(Ho)m(w)m(ev)m(er,)33 b(the)d(in)m(tegrabilit)m(y)h(results)h(on)386
5075 y(1)p Fp(=J)538 5090 y Fq(f)612 5075 y Fu(themselv)m(es)g(do)d
(not)g(seem)h(to)f(b)s(e)g(b)s(est)h(p)s(ossible.)43
b(It)29 b(remains)h(to)f(b)s(e)g(seen)386 5191 y(if)45
b(new)i(a)e(priori)g(inequalities)j(that)d(w)m(ould)i(result)f(on)f(b)s
(etter)h(in)m(tegrabilit)m(y)386 5307 y(conclusions)34
b(can)f(b)s(e)g(found.)486 5423 y(The)27 b(pap)s(er)h(is)f(organized)g
(as)h(follo)m(ws.)42 b(In)27 b(Section)h(2)f(w)m(e)h(in)m(tro)s(duce)g
(the)f(nec-)386 5540 y(essary)35 b(notation.)45 b(Section)35
b(3)e(deals)h(with)g(the)g(in)m(tegrabilit)m(y)h(of)e(non-negativ)m(e)
386 5656 y(w)m(eigh)m(ts)40 b(that)f(arise)g(from)g(our)f(approac)m(h.)
63 b(W)-8 b(e)39 b(b)s(eliev)m(e)h(that)f(these)h(w)m(eigh)m(ts)p
eop end end
%%Page: 4 4
TeXDict begin HPSdict begin 4 3 bop 386 293 a Fl(4)360
b(ST)-6 b(ANISLA)d(V)23 b(HENCL,)j(PEKKA)f(K)n(OSKELA)f(AND)h(XIA)n(O)f
(ZHONG)386 492 y Fu(ma)m(y)30 b(ha)m(v)m(e)g(their)g(o)m(wn)g(in)m
(terests.)44 b(In)29 b(Section)h(4)f(w)m(e)h(sho)m(w)h(b)m(y)f(means)g
(of)e(exam-)386 608 y(ples)f(that)f(the)g(results)h(from)f(Section)h(3)
e(are)h(sharp.)42 b(W)-8 b(e)27 b(con)m(tin)m(ue)g(b)m(y)g(applying)386
724 y(the)39 b(in)m(tegrabilit)m(y)i(results)g(in)e(Section)h(5)f(to)g
(mappings)h(of)e(\014nite)i(distortion.)386 841 y(Finally)-8
b(,)34 b(in)f(Section)i(6,)e(w)m(e)h(discuss)i(the)e(optimalit)m(y)g
(of)f(the)g(results)i(for)e(map-)386 957 y(pings)g(of)f(\014nite)i
(distortion.)1474 1178 y(2.)48 b Ft(Preliminaries)386
1353 y Fu(2.1.)g Fz(Notation.)h Fu(W)-8 b(e)36 b(write)g
Fo(jj)p Fp(x)p Fo(jj)f Fu(for)g(the)h(Euclidean)i(norm)d(of)g
Fp(x)f Fo(2)f Fr(R)3135 1316 y Fq(n)3218 1353 y Fu(and)386
1469 y(denote)i(the)g(Leb)s(esgue)g(measure)h(of)e(a)g(measurable)h
(set)g Fp(E)i Fo(\032)31 b Fr(R)2827 1433 y Fq(n)2908
1469 y Fu(b)m(y)k Fo(j)p Fp(E)6 b Fo(j)p Fu(.)48 b(By)386
1585 y(\012)42 b(w)m(e)h(will)g(alw)m(a)m(ys)g(mean)g(a)e(domain)h(in)h
Fr(R)2078 1549 y Fq(n)2124 1585 y Fp(;)17 b(n)44 b Fo(\025)g
Fu(2,)g(i.e.)72 b(connected)43 b(op)s(en)386 1701 y(set.)59
b(Giv)m(en)38 b(t)m(w)m(o)h(functions)f Fp(F)s(;)17 b(G)36
b Fu(:)g(\012)h Fo(!)e Fr(R)j Fu(w)m(e)g(write)g Fp(G)f
Fo(\030)f Fp(F)51 b Fu(if)38 b(there)g(is)g(a)386 1818
y(constan)m(t)33 b Fp(C)i Fo(\025)28 b Fu(1)k(suc)m(h)i(that)f
Fp(F)14 b Fu(\()p Fp(x)p Fu(\))p Fp(=C)34 b Fo(\024)28
b Fp(G)p Fu(\()p Fp(x)p Fu(\))g Fo(\024)g Fp(C)7 b(F)14
b Fu(\()p Fp(x)p Fu(\))33 b(for)f(ev)m(ery)i Fp(x)29
b Fo(2)f Fu(\012.)486 1934 y(Let)23 b Fp(A)28 b Fo(\032)g
Fr(R)929 1898 y Fq(n)999 1934 y Fu(b)s(e)23 b(a)g(measurable)i(set)f
(and)f Fp(f)39 b Fo(2)28 b Fp(L)2265 1898 y Fn(1)2305
1934 y Fu(\()p Fp(A)p Fu(\).)40 b(The)24 b(a)m(v)m(erage)g(in)m(tegral)
386 2050 y(will)33 b(b)s(e)g(denoted)g(b)m(y)1522 2222
y Fo(\000)1506 2086 y Fk(Z)1561 2312 y Fq(A)1636 2222
y Fp(f)38 b Fu(=)1876 2154 y(1)p 1836 2199 129 4 v 1836
2290 a Fo(j)p Fp(A)p Fo(j)1991 2086 y Fk(Z)2046 2312
y Fq(A)2120 2222 y Fp(f)43 b(:)386 2431 y Fu(W)-8 b(e)33
b(sa)m(y)g(that)g Fp(x)28 b Fo(2)g Fu(\012)33 b(is)g(a)f(Leb)s(esgue)i
(p)s(oin)m(t)f(of)f Fp(f)38 b Fo(2)29 b Fp(L)2428 2395
y Fn(1)2428 2457 y(lo)r(c)2520 2431 y Fu(\(\012\))k(if)1185
2650 y(lim)1183 2709 y Fq(r)r Fj(!)p Fn(0)1432 2650 y
Fu(sup)1340 2735 y Fq(c)p Fn(:)p Fq(x)p Fj(2)p Fq(B)s
Fn(\()p Fq(c;r)r Fn(\))1688 2650 y Fo(j)p Fp(f)11 b Fu(\()p
Fp(x)p Fu(\))22 b Fo(\000)h(\000)2012 2514 y Fk(Z)2067
2740 y Fq(B)s Fn(\()p Fq(c;r)r Fn(\))2284 2650 y Fp(f)11
b Fo(j)27 b Fu(=)g(0)p Fp(:)386 2889 y Fu(It)33 b(is)g(w)m(ell-kno)m
(wn)h(that)f(almost)g(ev)m(ery)h(p)s(oin)m(t)f(is)g(a)f(Leb)s(esgue)i
(p)s(oin)m(t.)486 3005 y(W)-8 b(e)30 b(use)h(the)g(con)m(v)m(en)m(tion)
h(that)e Fp(C)37 b Fu(denotes)31 b(some)g(p)s(ositiv)m(e)g(constan)m(t)
g(where)386 3121 y(the)h(v)-5 b(alue)32 b(of)f(this)h(constan)m(t)g(ma)
m(y)h(di\013er)f(from)f(o)s(ccur)h(to)f(o)s(ccur)h(as)f(usual.)44
b(W)-8 b(e)386 3237 y(write)33 b(e.g.)44 b Fp(C)7 b Fu(\()p
Fp(a;)17 b(b)p Fu(\))33 b(to)f(indicate)h(an)g(absolute)g(constan)m(t)h
(for)e(\014xed)h Fp(a)g Fu(and)g Fp(b)p Fu(.)486 3353
y(F)-8 b(or)24 b(the)h(con)m(v)m(enience)j(of)d(the)g(reader)h(w)m(e)g
(state)f(here)h(the)g(standard)f(co)m(v)m(ering)386 3470
y(theorem)33 b(that)g(that)f(w)m(e)i(will)f(later)f(emplo)m(y)-8
b(.)386 3649 y Fz(Theorem)31 b(2.1)g Fu(\(Vitali\))p
Fz(.)37 b Fs(L)-5 b(et)29 b Fo(B)k Fs(b)-5 b(e)29 b(an)g(arbitr)-5
b(ary)29 b(family)g(of)g(b)-5 b(al)5 b(ls)29 b(in)g Fr(R)3122
3613 y Fq(n)3198 3649 y Fs(with)1281 3814 y Fu(sup)q
Fo(f)p Fu(diam)17 b Fp(B)33 b Fu(:)27 b Fp(B)33 b Fo(2)28
b(B)s(g)g Fp(<)g Fo(1)34 b Fp(:)386 3979 y Fs(Then)27
b(ther)-5 b(e)27 b(exists)h(a)f(disjoint)g(\(at)h(most)f(c)-5
b(ountable\))27 b(subfamily)g Fo(f)p Fp(B)5 b Fu(\()p
Fp(x)3037 3994 y Fq(i)3066 3979 y Fp(;)17 b(r)3154 3994
y Fq(i)3182 3979 y Fu(\))p Fo(g)27 b(\032)386 4096 y(B)38
b Fs(such)d(that)1414 4125 y Fk([)1394 4337 y Fq(B)s
Fj(2B)1562 4220 y Fp(B)e Fo(\032)1774 4125 y Fk([)1901
4220 y Fp(B)5 b Fu(\()p Fp(x)2073 4235 y Fq(i)2102 4220
y Fp(;)17 b Fu(5)p Fp(r)2239 4235 y Fq(i)2267 4220 y
Fu(\))34 b Fp(:)486 4497 y Fu(W)-8 b(e)26 b(sa)m(y)h(that)e(the)i
(distributional)g(Jacobian)f(of)f Fp(f)38 b Fu(=)28 b(\()p
Fp(f)2557 4512 y Fn(1)2596 4497 y Fp(;)17 b(:)g(:)g(:)f(;)h(f)2863
4512 y Fq(n)2910 4497 y Fu(\))28 b(:)f(\012)h Fo(!)g
Fr(R)3328 4461 y Fq(n)386 4613 y Fu(is)40 b(equal)h(to)e(the)i(p)s(oin)
m(t-wise)f(Jacobian)g(if)g Fp(f)51 b Fo(2)40 b Fp(W)2354
4577 y Fn(1)p Fq(;)p Fn(1)2448 4613 y Fu(\(\012)p Fp(;)17
b Fr(R)2672 4577 y Fq(n)2719 4613 y Fu(\))40 b(and)g(for)f(ev)m(ery)386
4729 y(test)33 b(function)g Fp(\036)28 b Fo(2)g Fp(C)1215
4693 y Fj(1)1208 4754 y Fn(0)1289 4729 y Fu(\(\012\))33
b(w)m(e)h(ha)m(v)m(e)386 4947 y(\(2.1\))770 4812 y Fk(Z)826
5037 y Fn(\012)897 4947 y Fp(\036J)9 b Fu(\()p Fp(x;)17
b Fu(\()p Fp(f)1241 4962 y Fn(1)1281 4947 y Fp(;)g(f)1373
4962 y Fn(2)1412 4947 y Fp(;)g(:)g(:)g(:)f(;)h(f)1679
4962 y Fq(n)1725 4947 y Fu(\)\))p Fp(dx)28 b Fu(=)g Fo(\000)2133
4812 y Fk(Z)2188 5037 y Fn(\012)2260 4947 y Fp(f)2308
4962 y Fn(1)2347 4947 y Fp(J)9 b Fu(\()p Fp(x;)17 b Fu(\()p
Fp(\036;)g(f)2735 4962 y Fn(2)2774 4947 y Fp(;)g(:)g(:)g(:)f(;)h(f)3041
4962 y Fq(n)3088 4947 y Fu(\)\))p Fp(:)386 5190 y Fu(2.2.)48
b Fz(Area)39 b(form)m(ula.)50 b Fu(W)-8 b(e)34 b(sa)m(y)h(that)f(a)f
(mapping)h Fp(f)41 b Fu(:)30 b(\012)g Fo(!)f Fr(R)2798
5153 y Fq(n)2879 5190 y Fu(satis\014es)35 b(the)386 5306
y Fs(Lusin)40 b(c)-5 b(ondition)44 b Fp(N)49 b Fu(if)37
b(the)i(implication)g Fo(j)p Fp(E)6 b Fo(j)36 b Fu(=)h(0)73
b(=)-17 b Fo(\))74 b(j)p Fp(f)11 b Fu(\()p Fp(E)6 b Fu(\))p
Fo(j)36 b Fu(=)g(0)i(holds)386 5422 y(for)32 b(an)m(y)h(measurable)h
(set)f Fp(E)h Fo(\032)28 b Fu(\012.)486 5540 y(W)-8 b(e)27
b(con)m(tin)m(ue)j(with)e(the)g(w)m(ell-kno)m(wn)h(area)f(form)m(ula.)
42 b(Let)27 b Fp(f)39 b Fo(2)28 b Fp(W)2972 5492 y Fn(1)p
Fq(;)p Fn(1)2958 5567 y(lo)r(c)3066 5540 y Fu(\(\012;)17
b Fr(R)3290 5504 y Fq(n)3337 5540 y Fu(\))386 5656 y(and)46
b(let)g Fp(\021)k Fu(b)s(e)c(a)g(nonnegativ)m(e)h(Borel)f(measurable)i
(function)e(on)g Fr(R)3049 5620 y Fq(n)3096 5656 y Fu(.)84
b(The)p eop end end
%%Page: 5 5
TeXDict begin HPSdict begin 5 4 bop 977 293 a Fl(REVERSE)32
b(INEQUALITIES)g(F)n(OR)h(THE)g(JA)n(COBIAN)552 b(5)386
492 y Fu(m)m(ultiplicit)m(y)41 b(function)e Fp(N)10 b
Fu(\()p Fp(f)5 b(;)17 b Fu(\012)p Fp(;)g(y)t Fu(\))38
b(of)g Fp(f)50 b Fu(is)39 b(de\014ned)h(as)f(the)g(n)m(um)m(b)s(er)h
(of)e(pre-)386 608 y(images)30 b(of)f Fp(y)j Fu(under)e
Fp(f)40 b Fu(in)29 b(\012.)43 b(Without)29 b(an)m(y)h(additional)g
(assumption)g(w)m(e)g(ha)m(v)m(e)386 838 y(\(2.2\))912
702 y Fk(Z)967 927 y Fn(\012)1039 838 y Fp(\021)t Fu(\()p
Fp(f)11 b Fu(\()p Fp(x)p Fu(\)\))17 b Fo(j)p Fp(J)1456
853 y Fq(f)1500 838 y Fu(\()p Fp(x)p Fu(\))p Fo(j)g Fp(dx)27
b Fo(\024)1915 702 y Fk(Z)1970 927 y Fg(R)2018 909 y
Fh(n)2081 838 y Fp(\021)t Fu(\()p Fp(y)t Fu(\))17 b Fp(N)10
b Fu(\()p Fp(f)5 b(;)17 b Fu(\012)p Fp(;)g(y)t Fu(\))g
Fp(dy)t(:)386 1071 y Fu(This)42 b(follo)m(ws)g(from)f(the)h(area)f
(form)m(ula)g(for)f(Lipsc)m(hitz)k(mappings)e(and)f(from)386
1187 y(the)c(fact)f(that)h(\012)g(can)f(b)s(e)h(exhausted)i(up)d(to)h
(a)f(set)h(of)f(measure)i(zero)f(b)m(y)g(sets)386 1303
y(the)e(restriction)h(to)f(whic)m(h)h(of)f Fp(f)46 b
Fu(is)35 b(Lipsc)m(hitz)i(con)m(tin)m(uous)g(\(see)f([7)o(]\).)51
b(F)-8 b(or)34 b(the)386 1420 y(con)m(v)m(erse)h(inequalit)m(y)386
1649 y(\(2.3\))991 1513 y Fk(Z)1046 1739 y Fg(R)1094
1720 y Fh(n)1158 1649 y Fp(\021)t Fu(\()p Fp(y)t Fu(\))17
b Fp(N)10 b Fu(\()p Fp(f)5 b(;)17 b Fu(\012)p Fp(;)g(y)t
Fu(\))g Fp(dy)28 b Fo(\024)2031 1513 y Fk(Z)2086 1739
y Fn(\012)2158 1649 y Fp(\021)t Fu(\()p Fp(f)11 b Fu(\()p
Fp(x)p Fu(\)\))17 b Fo(j)p Fp(J)2575 1664 y Fq(f)2619
1649 y Fo(j)g Fp(dx)386 1883 y Fu(the)28 b(Lusin)g(condition)g
Fp(N)38 b Fu(should)28 b(b)s(e)g(assumed,)i(the)e(reason)g(for)f(v)-5
b(alidit)m(y)28 b(is)g(the)386 1999 y(same)33 b(as)g(that)f(for)g
(\(2.2\).)386 2224 y(2.3.)48 b Fz(T)-9 b(op)s(ological)45
b(prop)s(erties.)k Fu(A)38 b(mapping)h Fp(f)47 b Fu(:)37
b(\012)h Fo(!)e Fr(R)2755 2188 y Fq(n)2840 2224 y Fu(is)i(said)h(to)e
(b)s(e)386 2340 y(discrete)i(if)e(the)h(n)m(um)m(b)s(er)h(of)e(the)h
(pre-images)g(of)f(an)m(y)h(p)s(oin)m(t)g(of)f Fr(R)2911
2304 y Fq(n)2995 2340 y Fu(is)h(lo)s(cally)386 2456 y(\014nite)33
b(in)g(\012,)g(and)g(op)s(en)g(if)f(image)h(of)f(ev)m(ery)i(op)s(en)f
(set)g(is)g(an)g(op)s(en)g(set.)486 2573 y(If)43 b Fp(f)58
b Fu(:)47 b(\012)g Fo(!)g Fr(R)1110 2536 y Fq(n)1201
2573 y Fu(is)d(con)m(tin)m(uous,)k(op)s(en)c(and)g(discrete)i(and)e
Fp(A)j Fo(\032)g Fu(\012)e(is)f(a)386 2689 y(compact)33
b(set)g(then)386 2871 y(\(2.4\))621 b Fp(N)10 b Fu(\()p
Fp(f)5 b(;)17 b(A)p Fu(\))28 b(:=)42 b(sup)1701 2953
y Fq(y)r Fj(2)p Fg(R)1833 2934 y Fh(n)1892 2871 y Fp(N)10
b Fu(\()p Fp(f)5 b(;)17 b(A;)g(y)t Fu(\))27 b Fp(<)h
Fo(1)386 3125 y Fu(\(see)34 b([32)o(,)f(I.)g(Prop)s(osition)f(4.10)g
(\(3\)]\).)386 3350 y(2.4.)48 b Fz(Capacit)m(y.)i Fu(F)-8
b(or)35 b(disjoin)m(t)i(compact)g(sets)g Fp(E)42 b Fu(and)36
b Fp(F)49 b Fu(in)36 b(a)g(domain)g Fp(U)44 b Fo(\032)386
3466 y Fr(R)458 3430 y Fq(n)505 3466 y Fu(,)32 b(w)m(e)i(de\014ne)g
(the)f(conformal)f(capacit)m(y)i(of)e(the)h(pair)g(\()p
Fp(E)6 b(;)17 b(F)d Fu(\))32 b(b)m(y)1150 3701 y(cap)q(\()p
Fp(E)6 b(;)17 b(F)d Fu(;)j Fp(U)10 b Fu(\))27 b(=)h(inf)1861
3761 y Fq(u)1957 3565 y Fk(Z)2013 3791 y Fq(U)2088 3701
y Fo(jr)p Fp(u)p Fu(\()p Fp(x)p Fu(\))p Fo(j)2414 3660
y Fq(n)2477 3701 y Fp(dx;)386 3940 y Fu(where)i(the)f(in\014m)m(um)i
(is)e(tak)m(en)h(o)m(v)m(er)g(all)f(functions)h Fp(u)d
Fo(2)h Fp(C)2571 3904 y Fj(1)2646 3940 y Fu(\()p Fp(U)10
b Fu(\))29 b(whic)m(h)i(satisfy)386 4056 y Fp(u)p Fu(\()p
Fp(x)p Fu(\))c Fo(\024)i Fu(0)j(for)g Fp(x)c Fo(2)g Fp(E)39
b Fu(and)32 b Fp(u)p Fu(\()p Fp(x)p Fu(\))c Fo(\025)g
Fu(1)k(for)g Fp(x)c Fo(2)h Fp(F)14 b Fu(.)486 4173 y(W)-8
b(e)41 b(will)h(need)h(the)f(follo)m(wing)f(fundamen)m(tal)i(prop)s
(ert)m(y)f(of)f(conformal)g(ca-)386 4289 y(pacit)m(y)-8
b(.)59 b(Supp)s(ose)39 b(that)e Fp(E)44 b Fu(and)38 b
Fp(F)51 b Fu(are)38 b(connected)h(compact)f(sets)h(suc)m(h)g(that)386
4405 y(diam\()p Fp(E)6 b Fu(\))28 b Fp(<)f Fu(dist)q(\()p
Fp(E)6 b(;)17 b(F)d Fu(\),)32 b(then)386 4646 y(\(2.5\))404
b(cap)q(\()p Fp(E)6 b(;)17 b(F)d Fu(;)j Fr(R)1491 4605
y Fq(n)1537 4646 y Fu(\))27 b Fo(\024)h Fp(C)7 b Fu(\()p
Fp(n)p Fu(\))1918 4536 y Fk(\020)1978 4646 y Fu(log)2131
4579 y(dist\()p Fp(E)f(;)17 b(F)d Fu(\))p 2131 4623 433
4 v 2194 4715 a(diam)j Fp(E)2573 4536 y Fk(\021)2632
4558 y Fn(1)p Fj(\000)p Fq(n)386 4864 y Fu(\(for)32 b(this)h(see)h
(e.g.)43 b([15,)33 b(F)-8 b(act)32 b(3.1\(e\)]\).)486
4988 y(W)-8 b(e)41 b(sa)m(y)i(that)e(a)g(set)1334 4963
y(~)1311 4988 y Fp(E)48 b Fo(\032)c Fr(R)1624 4952 y
Fq(n)1712 4988 y Fu(joins)d(t)m(w)m(o)h(sets)h Fp(A;)17
b(B)48 b Fo(\032)43 b Fr(R)2775 4952 y Fq(n)2863 4988
y Fu(if)e(there)h(is)g(a)386 5107 y(connected)c(subset)f(of)1285
5082 y(~)1262 5107 y Fp(E)42 b Fu(whic)m(h)c(in)m(tersects)h(b)s(oth)c
Fp(A)i Fu(and)f Fp(B)5 b Fu(.)54 b(The)37 b(follo)m(wing)386
5224 y(lemma)c(is)g(standard)g(\(see)h(e.g.)44 b([13)o(,)33
b(Theorem)h(5.9]\).)386 5421 y Fz(Lemma)50 b(2.2.)c Fs(L)-5
b(et)1214 5396 y Fu(~)1191 5421 y Fp(E)49 b Fs(b)-5 b(e)43
b(a)h(c)-5 b(onne)g(cte)g(d)42 b(c)-5 b(omp)g(act)43
b(set)g(joining)f(a)i(p)-5 b(oint)43 b Fp(a)g Fo(2)386
5540 y Fr(R)458 5504 y Fq(n)554 5540 y Fs(to)49 b(the)g(spher)-5
b(e)48 b Fp(S)6 b Fu(\()p Fp(a;)17 b(r)s Fu(\))49 b Fs(and)1733
5514 y Fu(~)1711 5540 y Fp(F)63 b Fs(b)-5 b(e)49 b(a)f(c)-5
b(onne)g(cte)g(d)48 b(c)-5 b(omp)g(act)49 b(set)g(joining)386
5656 y(the)e(spher)-5 b(e)46 b Fp(S)6 b Fu(\()p Fp(a;)17
b Fu(2)p Fp(r)s Fu(\))46 b Fs(to)h Fp(S)6 b Fu(\()p Fp(a;)17
b Fu(4)p Fp(r)s Fu(\))p Fs(.)80 b(Supp)-5 b(ose)46 b(that)h
Fp(u)j Fo(2)g Fp(W)2745 5620 y Fn(1)p Fq(;)p Fn(1)2839
5656 y Fu(\()p Fp(B)5 b Fu(\(0)p Fp(;)17 b Fu(4)p Fp(r)s
Fu(\)\))46 b Fs(is)p eop end end
%%Page: 6 6
TeXDict begin HPSdict begin 6 5 bop 386 293 a Fl(6)360
b(ST)-6 b(ANISLA)d(V)23 b(HENCL,)j(PEKKA)f(K)n(OSKELA)f(AND)h(XIA)n(O)f
(ZHONG)386 500 y Fs(c)-5 b(ontinuous)42 b(and)f(satis\014es)g
Fp(u)g Fo(\025)g Fu(0)h Fs(on)1928 475 y Fu(~)1905 500
y Fp(E)48 b Fs(and)42 b Fp(u)e Fo(\024)h Fu(1)h Fs(on)2696
475 y Fu(~)2674 500 y Fp(F)13 b Fs(.)66 b(Then)41 b(for)h(al)5
b(l)386 616 y Fp(n)22 b Fo(\000)h Fu(1)k Fp(<)h(p)g Fo(\024)g
Fp(n)1283 680 y Fk(Z)1338 906 y Fq(B)s Fn(\()p Fq(a;)p
Fn(4)p Fq(r)r Fn(\))1597 816 y Fo(jr)p Fp(u)p Fo(j)1792
775 y Fq(p)1858 816 y Fo(\025)g Fp(C)7 b Fu(\()p Fp(p;)17
b(n)p Fu(\))p Fp(r)2314 775 y Fq(n)p Fj(\000)p Fq(p)2451
816 y Fp(:)1190 1183 y Fu(3.)49 b Ft(Weighted)37 b Fp(A)1923
1198 y Fj(1)2036 1183 y Ft(conditions)486 1357 y Fu(Let)e(\012)d
Fo(\032)h Fr(R)947 1321 y Fq(n)1029 1357 y Fu(b)s(e)i(a)g(domain,)h
Fp(p)c(>)g Fu(1,)k Fp(t)c(>)g Fu(0,)k Fp(\013)d(>)f Fu(0)j(and)g(let)g
Fp(F)46 b Fo(2)33 b Fp(L)3109 1321 y Fn(1)3109 1383 y(lo)r(c)3201
1357 y Fu(\(\012\).)386 1474 y(Motiv)-5 b(ated)27 b(b)m(y)g(the)g
(applications)g(in)g(mappings)g(of)f(\014nite)h(distortion)g(w)m(e)g
(study)386 1590 y(three)34 b(classes)i(of)d(non-negativ)m(e)i(w)m(eigh)
m(ts)h Fp(w)c Fo(2)e Fp(L)2249 1554 y Fn(1)2249 1616
y(lo)r(c)2342 1590 y Fu(\(\012\).)47 b(The)35 b(\014rst)f(class)h(con-)
386 1706 y(sists)f(of)e(w)m(eigh)m(ts)i(whic)m(h)g(satisfy)386
1946 y(\(3.1\))743 b(\()p Fo(\000)1352 1810 y Fk(Z)1407
2036 y Fq(B)1485 1946 y Fp(w)1558 1905 y Fq(p)1597 1946
y Fu(\))1635 1905 y Fn(1)p Fq(=p)1773 1946 y Fo(\024)28
b Fu(\()p Fo(\000)1900 1810 y Fk(Z)1955 2036 y Fn(2)p
Fq(B)2069 1946 y Fp(F)14 b Fu(\))2184 1905 y Fq(t)2235
1946 y Fo(\000)2225 1810 y Fk(Z)2280 2036 y Fq(B)2358
1946 y Fp(w)386 2190 y Fu(for)42 b(ev)m(ery)j(ball)e
Fp(B)k Fu(suc)m(h)e(that)d(2)p Fp(B)50 b Fo(\032)45 b
Fu(\012.)75 b(W)-8 b(eigh)m(ts)44 b(from)e(the)h(second)i(class)386
2306 y(satisfy)386 2546 y(\(3.2\))623 b(\()p Fo(\000)1232
2411 y Fk(Z)1287 2636 y Fq(B)1365 2546 y Fp(w)1438 2505
y Fq(p)1477 2546 y Fu(\))1515 2505 y Fn(1)p Fq(=p)1653
2546 y Fo(\024)28 b Fu(exp)1907 2466 y Fk(\000)1953 2546
y Fu(\()p Fo(\000)1975 2411 y Fk(Z)2030 2636 y Fn(2)p
Fq(B)2143 2546 y Fp(F)14 b Fu(\))2258 2505 y Fq(t)2288
2466 y Fk(\001)2355 2546 y Fo(\000)2345 2411 y Fk(Z)2400
2636 y Fq(B)2478 2546 y Fp(w)386 2790 y Fu(for)40 b(ev)m(ery)j(ball)e
Fp(B)46 b Fu(suc)m(h)d(that)e(2)p Fp(B)46 b Fo(\032)d
Fu(\012.)69 b(Finally)-8 b(,)43 b(w)m(eigh)m(ts)g(from)e(the)g(third)
386 2907 y(class)34 b(satisfy)386 3147 y(\(3.3\))405
b Fo(\000)976 3011 y Fk(Z)1031 3237 y Fq(B)1183 3079
y Fp(w)p 1119 3124 200 4 v 1119 3216 a Fo(\000)1121 3136
y Fk(R)1168 3251 y Fq(B)1246 3216 y Fp(w)1345 3147 y
Fu(log)1471 3104 y Fq(\013)1521 3036 y Fk(\020)1580 3147
y Fp(e)23 b Fu(+)1952 3079 y Fp(w)p 1756 3124 467 4 v
1756 3216 a Fo(\000)1758 3136 y Fk(R)1805 3251 y Fn(4)p
Fq(B)1918 3216 y Fp(F)36 b Fo(\000)2025 3136 y Fk(R)2072
3251 y Fq(B)2149 3216 y Fp(w)2232 3036 y Fk(\021)2319
3147 y Fo(\024)28 b Fu(\()p Fo(\000)2446 3011 y Fk(Z)2501
3237 y Fn(4)p Fq(B)2614 3147 y Fp(F)14 b Fu(\))2729 3105
y Fn(2)386 3405 y Fu(for)43 b(ev)m(ery)i(ball)e Fp(B)49
b Fu(suc)m(h)44 b(that)g(4)p Fp(B)50 b Fo(\032)d Fu(\012.)76
b(Without)44 b(loss)g(of)e(generalit)m(y)-8 b(,)48 b(w)m(e)386
3521 y(will)38 b(supp)s(ose)g(that)f Fp(F)49 b Fo(\025)36
b Fu(1)h(almost)g(ev)m(erywhere)k(and)c(therefore)g Fo(\000)2913
3441 y Fk(R)2960 3556 y Fn(2)p Fq(B)3074 3521 y Fp(F)49
b Fo(\025)36 b Fu(1.)386 3639 y(Let)g(us)h(note)g(that)f(the)g(fact)g
(that)g Fp(F)50 b Fu(is)37 b(in)m(tegrated)g(o)m(v)m(er)g(2)p
Fp(B)k Fu(\(or)36 b(4)p Fp(B)5 b Fu(\))36 b(is)h(not)386
3755 y(imp)s(ortan)m(t.)76 b(In)44 b(fact,)i(giv)m(en)f(an)m(y)f
(\014xed)g(constan)m(t)h Fp(s)h Fo(\025)g Fu(1,)g(w)m(e)f(can)f
(replace)386 3871 y Fo(\000)388 3791 y Fk(R)435 3906
y Fn(2)p Fq(B)548 3871 y Fp(F)54 b Fu(b)m(y)41 b Fo(\000)810
3791 y Fk(R)857 3906 y Fq(sB)967 3871 y Fp(F)54 b Fu(and)40
b(with)h(ob)m(vious)g(minor)f(mo)s(di\014cations)h(w)m(e)g(can)f
(obtain)386 3987 y(results)34 b(similar)f(to)f(those)i(presen)m(ted)g
(b)s(elo)m(w.)486 4103 y(Note)46 b(that)g(if)f Fp(F)60
b Fu(is)47 b(a)f(constan)m(t)g(function,)k(then)d(our)f(w)m(eigh)m(ts)i
(satisfy)f(a)386 4220 y(rev)m(erse)30 b(H\177)-49 b(older)28
b(inequalit)m(y)i(and)e(therefore)g(they)h(b)s(elong)f(to)g(the)g
(usual)g(Muc)m(k-)386 4336 y(enhaupt)33 b(class)h Fp(A)1067
4351 y Fj(1)1174 4336 y Fu(\(see)g([3])e(and)h([2]\).)486
4452 y(Under)g(eac)m(h)g(of)f(these)h(three)g(conditions)g(w)m(e)h
(will)f(b)s(e)f(able)h(to)f(obtain)g(some)386 4568 y(in)m(tegrabilit)m
(y)42 b(results)h(for)d(the)h(function)2052 4529 y Fn(1)p
1997 4545 148 4 v 1997 4603 a Fq(w)r Fn(\()p Fq(x)p Fn(\))2154
4568 y Fu(.)68 b(Since)42 b(the)f(pro)s(ofs)g(are)g(quite)386
4697 y(similar)d(w)m(e)h(will)g(giv)m(e)f(the)h(details)f(only)h(in)f
(the)g(\014rst)g(case)h(and)f(then)g(simply)386 4813
y(p)s(oin)m(t)33 b(out)f(the)h(di\013erences)i(in)e(the)g(other)f
(cases.)486 4929 y(W)-8 b(e)33 b(start)f(with)h(the)g(follo)m(wing)g
(easy)h(lemma.)386 5124 y Fz(Lemma)51 b(3.1.)c Fs(L)-5
b(et)44 b Fu(\012)i Fo(\032)f Fr(R)1503 5088 y Fq(n)1594
5124 y Fs(b)-5 b(e)44 b(a)g(domain,)i Fp(p)f(>)f Fu(1)p
Fs(,)j Fp(t)e(>)g Fu(0)f Fs(and)f(let)i Fp(F)58 b Fo(2)386
5240 y Fp(L)452 5204 y Fn(1)452 5266 y(lo)r(c)545 5240
y Fu(\(\012\))p Fs(.)43 b(Supp)-5 b(ose)31 b(that)h(a)f(non-ne)-5
b(gative)29 b(weight)i Fp(w)f Fo(2)e Fp(L)2533 5204 y
Fn(1)2533 5266 y(lo)r(c)2626 5240 y Fu(\(\012\))j Fs(satis\014es)39
b Fu(\(3.1\))386 5357 y Fs(for)c(every)f(b)-5 b(al)5
b(l)35 b Fp(B)40 b Fs(such)34 b(that)i Fu(2)p Fp(B)c
Fo(\032)c Fu(\012)p Fs(.)46 b(Set)386 5599 y Fu(\(3.4\))707
b Fp(a)p Fu(\()p Fp(B)5 b Fu(\))28 b(=)1631 5489 y Fk(\020)1691
5599 y Fu(2)1740 5518 y Fk(\000)1785 5599 y Fo(\000)1769
5464 y Fk(Z)1824 5689 y Fn(2)p Fq(B)1937 5599 y Fp(F)2014
5518 y Fk(\001)2060 5541 y Fq(pt)2125 5489 y Fk(\021)2185
5511 y Fn(1)p Fq(=)p Fn(\()p Fq(p)p Fj(\000)p Fn(1\))2440
5599 y Fp(:)p eop end end
%%Page: 7 7
TeXDict begin HPSdict begin 7 6 bop 977 293 a Fl(REVERSE)32
b(INEQUALITIES)g(F)n(OR)h(THE)g(JA)n(COBIAN)552 b(7)386
492 y Fs(Then)34 b(for)h(every)f(b)-5 b(al)5 b(l)35 b
Fp(B)40 b Fs(such)34 b(that)i Fu(2)p Fp(B)c Fo(\032)c
Fu(\012)36 b Fs(we)e(have)386 714 y Fu(\(3.5\))1221 579
y Fk(Z)1276 804 y Fq(B)1354 714 y Fp(w)c Fo(\024)e Fu(2)1625
579 y Fk(Z)1680 804 y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:)p
Fq(w)r Fn(\()p Fq(x)p Fn(\))p Fq()e Fu(2)1702
1188 y Fk(Z)1757 1414 y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:)14
b(~)-49 b Fq(w)q Fn(\()p Fq(x)p Fn(\))p Fq()e Fo(j)p Fp(B)5 b Fo(j)21 b(\000)2655 1728 y(j)p
Fp(B)5 b Fo(j)p 2655 1773 135 4 v 2698 1864 a Fu(2)2827
1796 y(=)2941 1728 y Fo(j)p Fp(B)g Fo(j)p 2941 1773 V
2983 1864 a Fu(2)3085 1796 y Fp(:)386 2044 y Fu(Thanks)34
b(to)e(\(3.4\))g(and)h(\(3.6\))f(w)m(e)i(ha)m(v)m(e)394
2272 y Fo(\000)378 2136 y Fk(Z)433 2362 y Fq(B)531 2272
y Fu(~)-69 b Fp(w)584 2231 y Fq(p)651 2272 y Fo(\025)808
2204 y Fu(1)p 766 2249 V 766 2340 a Fo(j)p Fp(B)5 b Fo(j)927
2136 y Fk(Z)982 2362 y Fj(f)15 b Fn(~)-50 b Fq(w)r Fj(\025)p
Fq(a)p Fn(\()p Fq(B)s Fn(\))p Fj(g)1349 2272 y Fu(~)-68
b Fp(w)54 b Fu(~)-69 b Fp(w)1507 2231 y Fq(p)p Fj(\000)p
Fn(1)1664 2272 y Fo(\025)29 b Fu(2)1819 2191 y Fk(\000)1864
2272 y Fo(\000)1848 2136 y Fk(Z)1903 2362 y Fn(2)p Fq(B)2016
2272 y Fp(F)2093 2191 y Fk(\001)2139 2213 y Fq(pt)2257
2204 y Fu(1)p 2214 2249 V 2214 2340 a Fo(j)p Fp(B)5 b
Fo(j)2375 2136 y Fk(Z)2430 2362 y Fj(f)15 b Fn(~)-50
b Fq(w)r Fj(\025)p Fq(a)p Fn(\()p Fq(B)s Fn(\))p Fj(g)2798
2272 y Fu(~)-69 b Fp(w)30 b(>)2981 2191 y Fk(\000)3027
2272 y Fo(\000)3011 2136 y Fk(Z)3066 2362 y Fn(2)p Fq(B)3179
2272 y Fp(F)3256 2191 y Fk(\001)3302 2213 y Fq(pt)386
2520 y Fu(whic)m(h)k(giv)m(es)g(us)f(a)f(con)m(tradiction)i(to)e
(\(3.1\).)1246 b Fe(\003)386 2705 y Fz(Lemma)51 b(3.2.)c
Fs(L)-5 b(et)44 b Fu(\012)i Fo(\032)f Fr(R)1503 2669
y Fq(n)1594 2705 y Fs(b)-5 b(e)44 b(a)g(domain,)i Fp(p)f(>)f
Fu(1)p Fs(,)j Fp(t)e(>)g Fu(0)f Fs(and)f(let)i Fp(F)58
b Fo(2)386 2821 y Fp(L)452 2785 y Fn(1)452 2847 y(lo)r(c)545
2821 y Fu(\(\012\))p Fs(.)43 b(Supp)-5 b(ose)31 b(that)h(a)f(non-ne)-5
b(gative)29 b(weight)i Fp(w)f Fo(2)e Fp(L)2533 2785 y
Fn(1)2533 2847 y(lo)r(c)2626 2821 y Fu(\(\012\))j Fs(satis\014es)39
b Fu(\(3.2\))386 2938 y Fs(for)c(every)f(b)-5 b(al)5
b(l)35 b Fp(B)40 b Fs(such)34 b(that)i Fu(2)p Fp(B)c
Fo(\032)c Fu(\012)p Fs(.)46 b(Set)386 3162 y Fu(\(3.7\))579
b Fp(a)p Fu(\()p Fp(B)5 b Fu(\))28 b(=)1504 3052 y Fk(\020)1563
3162 y Fu(2)17 b(exp)1778 3081 y Fk(\000)1823 3162 y
Fp(p)p Fu(\()p Fo(\000)1894 3027 y Fk(Z)1949 3252 y Fn(2)p
Fq(B)2063 3162 y Fp(F)d Fu(\))2178 3121 y Fq(t)2207 3081
y Fk(\001)2252 3052 y(\021)2312 3074 y Fn(1)p Fq(=)p
Fn(\()p Fq(p)p Fj(\000)p Fn(1\))2567 3162 y Fp(:)386
3389 y Fs(Then)34 b(for)h(every)f(b)-5 b(al)5 b(l)35
b Fp(B)40 b Fs(such)34 b(that)i Fu(2)p Fp(B)c Fo(\032)c
Fu(\012)36 b Fs(we)e(have)386 3611 y Fu(\(3.8\))1221
3475 y Fk(Z)1276 3701 y Fq(B)1354 3611 y Fp(w)c Fo(\024)e
Fu(2)1625 3475 y Fk(Z)1680 3701 y Fj(f)p Fq(x)p Fj(2)p
Fq(B)s Fn(:)p Fq(w)r Fn(\()p Fq(x)p Fn(\))p Fq()e Fu(exp)2632 4140 y Fk(\000)2677
4221 y Fp(p)p Fu(\()p Fo(\000)2748 4085 y Fk(Z)2803 4311
y Fn(2)p Fq(B)2917 4221 y Fp(F)14 b Fu(\))3032 4179 y
Fq(t)3061 4140 y Fk(\001)386 4469 y Fu(whic)m(h)34 b(giv)m(es)g(us)f(a)
f(con)m(tradiction)i(with)f(\(3.2\).)1143 b Fe(\003)386
4654 y Fz(Lemma)47 b(3.3.)e Fs(L)-5 b(et)41 b Fu(\012)f
Fo(\032)g Fr(R)1483 4618 y Fq(n)1570 4654 y Fs(b)-5 b(e)41
b(a)g(domain,)g Fp(\013)f(>)f Fu(0)i Fs(and)f(let)h Fp(F)53
b Fo(2)40 b Fp(L)3106 4618 y Fn(1)3106 4680 y(lo)r(c)3198
4654 y Fu(\(\012\))p Fs(.)386 4770 y(Supp)-5 b(ose)27
b(that)i(a)f(non-ne)-5 b(gative)26 b(weight)i Fp(w)i
Fo(2)e Fp(L)2139 4734 y Fn(1)2139 4796 y(lo)r(c)2232
4770 y Fu(\(\012\))h Fs(satis\014es)35 b Fu(\(3.3\))28
b Fs(for)g(every)386 4886 y(b)-5 b(al)5 b(l)34 b Fp(B)40
b Fs(such)35 b(that)g Fu(4)p Fp(B)e Fo(\032)28 b Fu(\012)p
Fs(.)45 b(Set)386 5093 y Fu(\(3.9\))573 b Fp(a)p Fu(\()p
Fp(B)5 b Fu(\))28 b(=)g Fo(\000)1482 4957 y Fk(Z)1537
5183 y Fn(4)p Fq(B)1650 5093 y Fp(F)j Fu(exp)1893 5012
y Fk(\000)1938 5093 y Fu(\(2\()p Fo(\000)2047 4957 y
Fk(Z)2102 5183 y Fn(4)p Fq(B)2215 5093 y Fp(F)14 b Fu(\))2330
5052 y Fn(2)2369 5093 y Fu(\))2407 5052 y Fn(1)p Fq(=\013)2527
5012 y Fk(\001)2573 5093 y Fp(:)386 5319 y Fs(Then)34
b(for)h(every)f(b)-5 b(al)5 b(l)35 b Fp(B)40 b Fs(such)34
b(that)i Fu(4)p Fp(B)c Fo(\032)c Fu(\012)36 b Fs(we)e(have)386
5542 y Fu(\(3.10\))1221 5406 y Fk(Z)1276 5631 y Fq(B)1354
5542 y Fp(w)c Fo(\024)e Fu(2)1625 5406 y Fk(Z)1680 5631
y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:)p Fq(w)r Fn(\()p Fq(x)p
Fn(\))p Fq()e
Fu(\()p Fo(\000)2368 991 y Fk(Z)2423 1217 y Fn(4)p Fq(B)2536
1127 y Fp(F)14 b Fu(\))2651 1086 y Fn(2)386 1343 y Fu(whic)m(h)34
b(giv)m(es)g(us)f(a)f(con)m(tradiction)i(with)f(\(3.3\).)1143
b Fe(\003)486 1516 y Fu(Our)38 b(goal)f(is)i(to)f(estimate)h(in)m
(tegrals)g(of)f(1)p Fp(=w)s(:)f Fu(The)i(follo)m(wing)g(lemma)g(will)
386 1632 y(allo)m(w)50 b(us)g(to)e(mak)m(e)j(the)f(tec)m(hnically)h
(con)m(v)m(enien)m(t)h(assumption)f(that)e Fp(w)i Fu(b)s(e)386
1748 y(b)s(ounded)38 b(a)m(w)m(a)m(y)g(from)e(zero.)57
b(It)37 b(is)h(easy)g(to)e(see)i(that)f(analogous)g(statemen)m(ts)386
1865 y(under)c(conditions)h(\(3.2\))e(and)h(\(3.3\))f(are)g(also)h(v)-5
b(alid.)386 2042 y Fz(Lemma)51 b(3.4.)c Fs(L)-5 b(et)44
b Fu(\012)i Fo(\032)f Fr(R)1503 2006 y Fq(n)1594 2042
y Fs(b)-5 b(e)44 b(a)g(domain,)i Fp(p)f(>)f Fu(1)p Fs(,)j
Fp(t)e(>)g Fu(0)f Fs(and)f(let)i Fp(F)58 b Fo(2)386 2159
y Fp(L)452 2122 y Fn(1)452 2185 y(lo)r(c)545 2159 y Fu(\(\012\))p
Fs(.)43 b(Supp)-5 b(ose)31 b(that)h(a)f(non-ne)-5 b(gative)29
b(weight)i Fp(w)f Fo(2)e Fp(L)2533 2122 y Fn(1)2533 2185
y(lo)r(c)2626 2159 y Fu(\(\012\))j Fs(satis\014es)39
b Fu(\(3.1\))386 2275 y Fs(for)g(every)f(b)-5 b(al)5
b(l)39 b Fp(B)44 b Fs(such)38 b(that)h Fu(2)p Fp(B)h
Fo(\032)c Fu(\012)p Fs(.)57 b(Then)38 b(ther)-5 b(e)39
b(is)f(a)h(lo)-5 b(c)g(al)5 b(ly)38 b(inte)-5 b(gr)g(able)386
2394 y(function)801 2369 y Fu(~)778 2394 y Fp(F)58 b
Fs(such)44 b(that)g(for)g(every)f Fp(\016)49 b(>)44 b
Fu(0)f Fs(the)h(function)g Fp(w)2707 2409 y Fq(\016)2789
2394 y Fu(:=)g(max)p Fo(f)p Fp(\016)n(;)17 b(w)s Fo(g)386
2518 y Fs(satis\014es)34 b(c)-5 b(ondition)41 b Fu(\(3.1\))35
b Fs(with)1655 2493 y Fu(~)1633 2518 y Fp(F)48 b Fs(\(i.e.,)2005
2493 y Fu(~)1983 2518 y Fp(F)h Fs(do)-5 b(es)34 b(not)h(dep)-5
b(end)34 b(on)g Fp(\016)t Fs(\).)386 2696 y(Pr)-5 b(o)g(of.)41
b Fu(Fix)c(a)f(ball)g Fp(B)5 b Fu(.)56 b(Clearly)37 b
Fo(\000)1647 2616 y Fk(R)1694 2731 y Fq(B)1772 2696 y
Fp(w)1842 2711 y Fq(\016)1914 2696 y Fo(\025)e Fp(\016)41
b Fu(and)36 b Fo(\000)2305 2616 y Fk(R)2352 2731 y Fq(B)2430
2696 y Fp(w)2500 2711 y Fq(\016)2572 2696 y Fo(\025)f(\000)2686
2616 y Fk(R)2733 2731 y Fq(B)2811 2696 y Fp(w)s Fu(.)55
b(Therefore)386 2819 y(\(3.1\))32 b(and)h Fo(\000)811
2739 y Fk(R)858 2854 y Fn(2)p Fq(B)971 2819 y Fp(F)41
b Fo(\025)29 b Fu(1)j(imply)647 2910 y Fk(Z)703 3135
y Fq(B)763 2935 y Fk(\020)876 2978 y Fp(w)946 2993 y
Fq(\016)p 833 3023 194 4 v 833 3115 a Fo(\000)835 3034
y Fk(R)918 3115 y Fp(w)988 3130 y Fq(\016)1036 2935 y
Fk(\021)1096 2957 y Fq(p)1163 3045 y Fo(\024)1268 2910
y Fk(Z)1324 3135 y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:)p
Fq(w)r Fn(\()p Fq(x)p Fn(\))p Fq(>\016)r Fj(g)1797 2935
y Fk(\020)1909 2978 y Fp(w)p 1866 3023 159 4 v 1866 3115
a Fo(\000)1868 3034 y Fk(R)1951 3115 y Fp(w)2035 2935
y Fk(\021)2094 2957 y Fq(p)2156 3045 y Fu(+)2254 2910
y Fk(Z)2309 3135 y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:)p
Fq(w)r Fn(\()p Fq(x)p Fn(\))p Fj(\024)p Fq(\016)r Fj(g)2782
2935 y Fk(\020)2852 2978 y Fp(\016)p 2852 3023 47 4 v
2852 3114 a(\016)2909 2935 y Fk(\021)2968 2957 y Fq(p)3036
3045 y Fo(\024)1048 3349 y(\024)c(j)p Fp(B)5 b Fo(j)1288
3238 y Fk(\020)1347 3349 y Fo(\000)1331 3213 y Fk(Z)1386
3438 y Fn(2)p Fq(B)1500 3349 y Fp(F)1577 3238 y Fk(\021)1636
3260 y Fq(pt)1723 3349 y Fu(+)22 b Fo(j)p Fp(B)5 b Fo(j)28
b(\024)g Fu(2)p Fo(j)p Fp(B)5 b Fo(j)2273 3238 y Fk(\020)2331
3349 y Fo(\000)2315 3213 y Fk(Z)2370 3438 y Fn(2)p Fq(B)2484
3349 y Fp(F)2561 3238 y Fk(\021)2620 3260 y Fq(pt)2685
3349 y Fp(:)3297 3540 y Fe(\003)486 3714 y Fu(Inspired)40
b(b)m(y)h([3)o(,)g(Theorem)g(IV)e(and)h(Theorem)g(V],)g(w)m(e)g
(establish)h(the)f(fol-)386 3830 y(lo)m(wing)33 b(results)h(on)f(the)g
(in)m(tegrabilit)m(y)h(of)2033 3791 y Fn(1)p 1977 3807
148 4 v 1977 3864 a Fq(w)r Fn(\()p Fq(x)p Fn(\))2134
3830 y Fu(.)386 4020 y Fz(Theorem)46 b(3.5.)f Fs(L)-5
b(et)41 b Fu(\012)f Fo(\032)f Fr(R)1560 3984 y Fq(n)1648
4020 y Fs(b)-5 b(e)41 b(a)g(domain,)g Fp(p)e(>)g Fu(1)p
Fs(,)j Fp(t)d(>)g Fu(0)i Fs(and)f(let)i Fp(F)52 b Fo(2)386
4136 y Fp(L)452 4100 y Fn(1)452 4162 y(lo)r(c)545 4136
y Fu(\(\012\))p Fs(.)43 b(Supp)-5 b(ose)31 b(that)h(a)f(non-ne)-5
b(gative)29 b(weight)i Fp(w)f Fo(2)e Fp(L)2533 4100 y
Fn(1)2533 4162 y(lo)r(c)2626 4136 y Fu(\(\012\))j Fs(satis\014es)39
b Fu(\(3.1\))386 4252 y Fs(for)c(every)f(b)-5 b(al)5
b(l)35 b Fp(B)40 b Fs(such)34 b(that)i Fu(2)p Fp(B)c
Fo(\032)c Fu(\012)p Fs(.)46 b(Then)34 b(for)g(every)h
Fp(")27 b(>)h Fu(0)35 b Fs(we)f(have)386 4458 y Fu(\(3.11\))611
b(log)1383 4381 y Fh(p)p Fd(\000)p Fi(1)p 1383 4397 111
3 v 1410 4438 a Fh(pt)1503 4412 y Fj(\000)p Fq(")1595
4458 y Fu(\()p Fp(e)22 b Fu(+)1886 4391 y(1)p 1808 4435
204 4 v 1808 4527 a Fp(w)s Fu(\()p Fp(x)p Fu(\))2022
4458 y(\))27 b Fo(2)i Fp(L)2248 4417 y Fn(1)2248 4483
y(lo)r(c)2340 4458 y Fu(\(\012\))p Fp(:)386 4691 y Fs(Pr)-5
b(o)g(of.)41 b Fu(First)33 b(w)m(e)g(will)h(assume)g(that)e(there)h(is)
g Fp(\016)f(>)c Fu(0)k(suc)m(h)i(that)e Fp(w)e Fo(\025)e
Fp(\016)t Fu(.)44 b(Set)486 4896 y Fp(q)31 b Fu(=)674
4829 y Fp(p)22 b Fo(\000)h Fu(1)p 674 4874 220 4 v 742
4965 a Fp(pt)903 4896 y(;)50 b(\014)33 b Fu(=)27 b(1)22
b Fo(\000)h Fp(q)j Fu(+)c Fp(";)49 b(A)p Fu(\()p Fp(\025)p
Fu(\))27 b(=)h(log)2094 4850 y Fn(1)p Fj(\000)2210 4823
y Fh(")p 2194 4835 61 3 v 2194 4876 a Fi(2)p Fh(q)2285
4896 y Fp(\025)33 b Fu(and)f Fp(B)5 b Fu(\()p Fp(\025)p
Fu(\))28 b(=)3053 4829 y(1)p 2918 4874 321 4 v 2918 4975
a Fp(\025)17 b Fu(log)3117 4932 y Fq(\014)3181 4975 y
Fp(\025)3248 4896 y(:)386 5118 y Fu(Clearly)34 b(w)m(e)f(can)g(assume)h
(that)f Fp(")f Fu(is)h(so)g(small)g(that)f Fp(\014)h(<)28
b Fu(1)22 b Fo(\000)2749 5079 y Fq(")p 2730 5095 70 4
v 2730 5152 a Fn(2)p Fq(q)2810 5118 y Fu(.)486 5254 y(Fix)34
b(a)g(ball)h Fp(B)40 b Fu(suc)m(h)c(that)e(2)p Fp(B)i
Fo(\032\032)c Fu(\012)j(and)f(\014x)h Fp(\025)c(>)g Fu(max)q
Fo(f)p Fu(1)p Fp(=)22 b Fo(\000)2823 5174 y Fk(R)2870
5288 y Fq(B)2948 5254 y Fp(w)s(;)17 b Fu(2)p Fo(g)p Fu(.)48
b(W)-8 b(e)386 5370 y(claim)33 b(that)386 5561 y(\(3.12\))162
b Fo(jf)p Fp(x)28 b Fo(2)g Fp(B)33 b Fu(:)27 b(1)p Fp(=w)s
Fu(\()p Fp(x)p Fu(\))g Fp(>)h(\025)p Fo(gj)f(\024)2008
5493 y Fp(C)p 1924 5538 244 4 v 1924 5629 a(A)p Fu(\()p
Fp(\025)p Fu(\))2130 5600 y Fq(q)2200 5561 y Fu(+)22
b Fp(C)7 b(\025)2449 5425 y Fk(Z)2504 5651 y Fj(f)p Fq(x)p
Fj(2)p Fq(B)s Fn(:)2759 5623 y Fh(\025)p 2712 5635 131
3 v 2712 5677 a(A)p Fi(\()p Fh(\025)p Fi(\))2853 5651
y Fq(<)2967 5623 y Fi(1)p 2918 5635 129 3 v 2918 5677
a Fh(w)q Fi(\()p Fh(x)p Fi(\))3056 5651 y Fj(g)3112 5561
y Fp(w)s(:)p eop end end
%%Page: 9 9
TeXDict begin HPSdict begin 9 8 bop 977 293 a Fl(REVERSE)32
b(INEQUALITIES)g(F)n(OR)h(THE)g(JA)n(COBIAN)552 b(9)386
500 y Fu(T)-8 b(o)33 b(this)h(end,)g(denote)f Fp(S)i
Fu(=)28 b Fo(f)p Fp(x)h Fo(2)g Fp(B)k Fu(:)c(1)p Fp(=w)s
Fu(\()p Fp(x)p Fu(\))e Fp(>)i(\025)p Fo(g)j Fu(and)i(let)2760
475 y(~)2743 500 y Fp(S)39 b Fu(b)s(e)33 b(the)g(set)h(of)386
625 y(Leb)s(esgue)g(p)s(oin)m(ts)f(of)f Fp(w)j Fu(in)e
Fp(S)38 b Fu(\(i.e.,)33 b Fo(j)p Fp(S)28 b Fo(n)1956
600 y Fu(~)1939 625 y Fp(S)6 b Fo(j)27 b Fu(=)h(0\).)43
b(F)-8 b(or)32 b(ev)m(ery)i Fp(s)28 b Fo(2)2937 600 y
Fu(~)2921 625 y Fp(S)38 b Fu(w)m(e)c(ha)m(v)m(e)1180
842 y(lim)1178 902 y Fq(r)r Fj(!)p Fn(0)1423 842 y Fu(sup)1334
928 y Fq(c)p Fn(:)p Fq(s)p Fj(2)p Fq(B)s Fn(\()p Fq(c;r)r
Fn(\))1676 842 y Fo(j)p Fp(w)s Fu(\()p Fp(s)p Fu(\))21
b Fo(\000)i(\000)2004 706 y Fk(Z)2059 932 y Fq(B)s Fn(\()p
Fq(c;r)r Fn(\))2276 842 y Fp(w)s Fo(j)j Fu(=)i(0)p Fp(:)386
1091 y Fu(Since)42 b Fp(w)s Fu(\()p Fp(s)p Fu(\))f Fp(<)g
Fu(1)p Fp(=\025)g(<)h Fo(\000)1318 1011 y Fk(R)1365 1126
y Fq(B)1443 1091 y Fp(w)h Fu(it)e(follo)m(ws)g(that)g(it)g(is)g(p)s
(ossible)h(to)f(\014nd)g(a)g(ball)386 1207 y Fp(B)460
1222 y Fq(s)524 1207 y Fo(\032)29 b Fp(B)37 b Fu(suc)m(h)d(that)1530
1380 y Fp(\025)28 b(<)1758 1313 y Fo(j)p Fp(B)1860 1328
y Fq(s)1897 1313 y Fo(j)p 1728 1357 227 4 v 1728 1369
a Fk(R)1775 1484 y Fq(B)1828 1492 y Fh(s)1883 1449 y
Fp(w)1993 1380 y Fo(\024)g Fu(2)p Fp(\025:)386 1603 y
Fu(W)-8 b(e)38 b(can)f(use)i(Vitali)e(co)m(v)m(ering)i(theorem)f(\(see)
h(Theorem)g(2.1\))d(for)h(the)h(family)386 1719 y Fo(f)p
Fu(2)p Fp(B)559 1734 y Fq(s)595 1719 y Fo(g)645 1746
y Fq(s)p Fj(2)736 1730 y Fn(~)725 1746 y Fq(S)808 1719
y Fu(to)32 b(obtain)h(balls)g Fp(B)1533 1734 y Fq(i)1589
1719 y Fo(\032)28 b Fp(B)38 b Fu(suc)m(h)c(that)386 1912
y(\(3.13\))973 1887 y(~)956 1912 y Fp(S)f Fo(\032)1155
1817 y Fk([)1198 2027 y Fq(i)1282 1912 y Fu(10)p Fp(B)1454
1927 y Fq(i)1514 1912 y Fu(and)g Fo(jf)p Fp(x)27 b Fo(2)i
Fp(B)j Fu(:)c(1)p Fp(=w)s Fu(\()p Fp(x)p Fu(\))f Fp(>)h(\025)p
Fo(g)21 b(n)2770 1887 y Fu(~)2753 1912 y Fp(S)6 b Fo(j)28
b Fu(=)f(0)p Fp(;)386 2284 y Fu(\(3.14\))564 b Fp(\025)27
b(<)1429 2217 y Fo(j)p Fp(B)1531 2232 y Fq(i)1559 2217
y Fo(j)p 1398 2261 220 4 v 1398 2273 a Fk(R)1445 2388
y Fq(B)1498 2398 y Fh(i)1545 2353 y Fp(w)1655 2284 y
Fo(\024)i Fu(2)p Fp(\025)j Fu(for)g(ev)m(ery)i Fp(i)f
Fu(and)386 2577 y(\(3.15\))528 b(the)33 b(balls)h(2)p
Fp(B)1684 2592 y Fq(i)1744 2577 y Fu(are)f(pairwise)h(disjoin)m(t)q
Fp(:)486 2750 y Fu(W)-8 b(e)41 b(will)h(use)g(notation)e
Fp(a)p Fu(\()p Fp(B)5 b Fu(\))42 b(as)f(in)g(\(3.4\).)69
b(Assuming)42 b(that)2924 2725 y(~)2901 2750 y Fp(B)k
Fu(is)c(a)f(ball)386 2875 y(suc)m(h)34 b(that)e(2)889
2850 y(~)866 2875 y Fp(B)h Fo(\032)28 b Fu(\012)33 b(and)g
Fp(A)p Fu(\()p Fp(\025)p Fu(\))27 b Fo(\024)h Fp(a)p
Fu(\()1822 2850 y(~)1798 2875 y Fp(B)6 b Fu(\))32 b(w)m(e)i(obtain)386
3110 y(\(3.16\))769 b Fo(j)1456 3085 y Fu(~)1433 3110
y Fp(B)5 b Fo(j)28 b(\024)1683 3036 y Fp(C)7 b Fu(\()p
Fp(p;)17 b(t;)g(n)p Fu(\))2083 2956 y Fk(R)2129 3071
y Fn(2)2181 3054 y(~)2164 3071 y Fq(B)2241 3036 y Fp(F)p
1683 3087 636 4 v 1878 3178 a(A)p Fu(\()p Fp(\025)p Fu(\))2084
3149 y Fq(q)2328 3110 y Fp(:)486 3334 y Fu(F)-8 b(rom)32
b(\(3.13\))o(,)h(\(3.16\))o(,)f(\(3.14\),)g(\(3.15\))g(and)h(\(3.5\))f
(w)m(e)h(ha)m(v)m(e)997 3520 y Fo(jf)p Fp(x)27 b Fo(2)i
Fp(B)j Fu(:)c(1)p Fp(=w)s Fu(\()p Fp(x)p Fu(\))f Fp(>)h(\025)p
Fo(gj)f(\024)h Fp(C)7 b Fu(\()p Fp(n)p Fu(\))2341 3426
y Fk(X)2400 3636 y Fq(i)2501 3520 y Fo(j)p Fp(B)2603
3535 y Fq(i)2631 3520 y Fo(j)27 b(\024)894 3814 y(\024)h
Fp(C)7 b Fu(\()p Fp(n)p Fu(\))1364 3720 y Fk(X)1227 3936
y Fq(i)p Fn(:)p Fq(a)p Fn(\()p Fq(B)1388 3946 y Fh(i)1415
3936 y Fn(\))p Fj(\025)p Fq(A)p Fn(\()p Fq(\025)p Fn(\))1663
3814 y Fo(j)p Fp(B)1765 3829 y Fq(i)1793 3814 y Fo(j)21
b Fu(+)h Fp(C)7 b Fu(\()p Fp(n)p Fu(\))2306 3720 y Fk(X)2168
3936 y Fq(i)p Fn(:)p Fq(a)p Fn(\()p Fq(B)2329 3946 y
Fh(i)2356 3936 y Fn(\))p Fq()h(\025)p
Fo(gj)p Fp(d\025)e Fo(\024)p eop end end
%%Page: 10 10
TeXDict begin HPSdict begin 10 9 bop 386 293 a Fl(10)322
b(ST)-6 b(ANISLA)d(V)23 b(HENCL,)j(PEKKA)f(K)n(OSKELA)f(AND)h(XIA)n(O)f
(ZHONG)547 551 y Fo(\024)k Fp(C)7 b Fu(\()p Fp(p;)17
b(t;)g(n;)g(F)d Fu(\))1173 415 y Fk(Z)1271 442 y Fj(1)1227
641 y Fq(E)1389 484 y Fp(B)5 b Fu(\()p Fp(\025)p Fu(\))p
1373 528 244 4 v 1373 619 a Fp(A)p Fu(\()p Fp(\025)p
Fu(\))1579 591 y Fq(q)1649 551 y Fu(+)22 b Fp(C)7 b Fu(\()p
Fp(n)p Fu(\))1975 415 y Fk(Z)2074 442 y Fj(1)2030 641
y Fq(E)2165 551 y Fp(B)e Fu(\()p Fp(\025)p Fu(\))p Fp(\025)2451
415 y Fk(Z)2506 641 y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:)2761
614 y Fh(\025)p 2714 626 131 3 v 2714 667 a(A)p Fi(\()p
Fh(\025)p Fi(\))2855 641 y Fq(<)2969 614 y Fi(1)p 2920
626 129 3 v 2920 667 a Fh(w)q Fi(\()p Fh(x)p Fi(\))3058
641 y Fj(g)3114 551 y Fp(w)s(:)386 788 y Fu(Set)33 b
Fp(w)624 803 y Fn(1)663 788 y Fu(\()p Fp(x)p Fu(\))28
b(=)g(1)p Fp(=w)s Fu(\()p Fp(x)p Fu(\))j(and)i Fp(d\026)1559
803 y Fn(1)1598 788 y Fu(\()p Fp(x)p Fu(\))28 b(=)f Fp(w)s
Fu(\()p Fp(x)p Fu(\))p Fp(dx)p Fu(.)486 904 y(W)-8 b(e)33
b(can)f(estimate)i(the)f(left-hand)g(side)g(of)f(inequalit)m(y)k
(\(3.17\))c(b)m(y)386 1122 y(\(3.18\))1047 986 y Fk(Z)1147
1012 y Fj(1)1103 1212 y Fq(E)1384 1054 y Fu(1)p 1248
1099 321 4 v 1248 1200 a Fp(\025)17 b Fu(log)1448 1157
y Fq(\014)1511 1200 y Fp(\025)1578 1122 y Fo(jf)p Fp(x)28
b Fo(2)g Fp(B)33 b Fu(:)28 b Fp(w)2065 1137 y Fn(1)2104
1122 y Fu(\()p Fp(x)p Fu(\))g Fp(>)f(\025)p Fo(gj)p Fp(d\025)g
Fo(\025)401 1414 y(\025)h Fp(C)7 b Fu(\()p Fp(\014)f
Fu(\))737 1279 y Fk(Z)792 1504 y Fj(f)p Fq(x)p Fj(2)p
Fq(B)s Fn(:)p Fq(w)1041 1513 y Fi(1)1075 1504 y Fn(\()p
Fq(x)p Fn(\))p Fq(>E)t Fj(g)1336 1414 y Fu(log)1462 1371
y Fn(1)p Fj(\000)p Fq(\014)1599 1414 y Fu(\()p Fp(e)23
b Fu(+)f Fp(w)1873 1429 y Fn(1)1912 1414 y Fu(\()p Fp(x)p
Fu(\)\))p Fp(dx)g Fo(\000)h Fp(C)7 b Fu(\()p Fp(\014)f
Fu(\))p Fo(j)p Fp(B)f Fo(j)17 b Fu(log)2799 1371 y Fn(1)p
Fj(\000)p Fq(\014)2937 1414 y Fu(\()p Fp(e)22 b Fu(+)g
Fp(E)6 b Fu(\))28 b(=)577 1696 y(=)f Fp(C)7 b Fu(\()p
Fp(q)t(;)17 b(")p Fu(\))987 1560 y Fk(Z)1041 1786 y Fj(f)p
Fq(x)p Fj(2)p Fq(B)s Fn(:1)p Fq(=w)r Fn(\()p Fq(x)p Fn(\))p
Fq(>E)t Fj(g)1623 1696 y Fu(log)1749 1653 y Fq(q)r Fj(\000)p
Fq(")1875 1696 y Fu(\()p Fp(e)22 b Fu(+)2166 1629 y(1)p
2088 1673 204 4 v 2088 1764 a Fp(w)s Fu(\()p Fp(x)p Fu(\))2302
1696 y(\))p Fp(dx)g Fo(\000)h Fp(C)7 b Fu(\()p Fp(q)t(;)17
b(";)g Fo(j)p Fp(B)5 b Fo(j)p Fp(;)17 b(E)6 b Fu(\))p
Fp(:)386 1906 y Fu(Since)34 b Fp(\014)27 b Fu(+)22 b
Fp(q)k Fo(\000)1001 1866 y Fq(")p 1000 1883 36 4 v 1000
1940 a Fn(2)1073 1906 y Fp(>)h Fu(1)33 b(w)m(e)g(ha)m(v)m(e)386
2136 y(\(3.19\))1042 2001 y Fk(Z)1142 2027 y Fj(1)1097
2226 y Fq(E)1259 2069 y Fp(B)5 b Fu(\()p Fp(\025)p Fu(\))p
1243 2114 244 4 v 1243 2205 a Fp(A)p Fu(\()p Fp(\025)p
Fu(\))1449 2176 y Fq(q)1497 2136 y Fp(d\025)27 b Fu(=)1736
2001 y Fk(Z)1835 2027 y Fj(1)1791 2226 y Fq(E)2140 2069
y Fp(d\025)p 1937 2114 515 4 v 1937 2217 a(\025)17 b
Fu(log)2136 2174 y Fq(\014)s Fn(+)p Fq(q)r Fj(\000)2334
2147 y Fh(")p 2333 2159 31 3 v 2333 2200 a Fi(2)2394
2217 y Fp(\025)2488 2136 y(<)28 b Fo(1)p Fp(:)386 2386
y Fu(W)-8 b(e)32 b(use)h(substitution)1267 2360 y(~)1263
2386 y Fp(\025)27 b Fu(=)1515 2347 y Fq(\025)p 1461 2363
149 4 v 1461 2420 a(A)p Fn(\()p Fq(\025)p Fn(\))1651
2386 y Fu(\(i.e.,)33 b Fp(\025)27 b Fo(\030)2067 2360
y Fu(~)2063 2386 y Fp(\025)16 b Fu(log)2262 2339 y Fn(1)p
Fj(\000)2378 2312 y Fh(")p 2362 2324 61 3 v 2362 2365
a Fi(2)p Fh(q)2458 2360 y Fu(~)2454 2386 y Fp(\025)p
Fu(\))31 b(in)h(the)g(second)h(term)386 2520 y(on)f(the)h(righ)m
(t-hand)g(side)h(of)39 b(\(3.17\))32 b(to)g(obtain)386
2737 y(\(3.20\))988 2601 y Fk(Z)1088 2628 y Fj(1)1044
2827 y Fq(E)1179 2737 y Fp(B)5 b Fu(\()p Fp(\025)p Fu(\))p
Fp(\025)33 b(\026)1540 2752 y Fn(1)1579 2737 y Fu(\()p
Fo(f)p Fp(x)28 b Fo(2)g Fp(B)33 b Fu(:)27 b Fp(w)2075
2752 y Fn(1)2142 2737 y Fp(>)2330 2670 y(\025)p 2256
2714 206 4 v 2256 2805 a(A)p Fu(\()p Fp(\025)p Fu(\))2472
2737 y Fo(g)p Fu(\))p Fp(d\025)g Fo(\024)690 3028 y(\024)h
Fp(C)7 b Fu(\()p Fp(\014)f Fu(\))1026 2892 y Fk(Z)1125
2919 y Fj(1)1138 3091 y Fh(E)p 1091 3103 142 3 v 1091
3144 a(A)p Fi(\()p Fh(E)s Fi(\))1372 2960 y Fu(1)p 1273
3005 247 4 v 1273 3109 a(log)1399 3066 y Fq(\014)1467
3083 y Fu(~)1463 3109 y Fp(\025)1529 3028 y(\026)1588
3043 y Fn(1)1628 3028 y Fu(\()p Fo(f)p Fp(x)27 b Fo(2)h
Fp(B)33 b Fu(:)28 b Fp(w)2124 3043 y Fn(1)2191 3028 y
Fp(>)2298 3002 y Fu(~)2294 3028 y Fp(\025)p Fo(g)p Fu(\))17
b(log)2582 2981 y Fn(1)p Fj(\000)2698 2954 y Fh(")p 2682
2966 61 3 v 2682 3007 a Fi(2)p Fh(q)2777 3002 y Fu(~)2773
3028 y Fp(\025)28 b(d)2913 3002 y Fu(~)2909 3028 y Fp(\025)f
Fo(\024)659 3331 y(\024)h Fp(C)7 b Fu(\()p Fp(q)t(;)17
b(")p Fu(\))1071 3196 y Fk(Z)1125 3421 y Fj(f)p Fq(x)p
Fj(2)p Fq(B)s Fn(:)p Fq(w)1374 3430 y Fi(1)1409 3421
y Fn(\()p Fq(x)p Fn(\))p Fq(>)1615 3394 y Fh(E)p 1568
3406 142 3 v 1568 3447 a(A)p Fi(\()p Fh(E)s Fi(\))1720
3421 y Fj(g)1776 3331 y Fp(w)1846 3346 y Fn(1)1885 3331
y Fu(\()p Fp(x)p Fu(\))g(log)2159 3285 y Fn(1)p Fj(\000)p
Fq(\014)s Fj(\000)2372 3258 y Fh(")p 2357 3270 61 3 v
2357 3311 a Fi(2)p Fh(q)2448 3331 y Fp(w)2518 3346 y
Fn(1)2557 3331 y Fu(\()p Fp(x)p Fu(\))28 b Fp(d\026)2826
3346 y Fn(1)2865 3331 y Fu(\()p Fp(x)p Fu(\))g Fo(\024)811
3635 y(\024)g Fp(C)7 b Fu(\()p Fp(q)t(;)17 b(")p Fu(\))1223
3499 y Fk(Z)1277 3725 y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:1)p
Fq(=w)r Fn(\()p Fq(x)p Fn(\))p Fq(>)1804 3697 y Fh(E)p
1757 3709 142 3 v 1757 3751 a(A)p Fi(\()p Fh(E)s Fi(\))1909
3725 y Fj(g)1965 3635 y Fu(log)2091 3588 y Fq(q)r Fj(\000)p
Fq(")p Fj(\000)2293 3561 y Fh(")p 2277 3573 61 3 v 2277
3614 a Fi(2)p Fh(q)2352 3635 y Fu(\()p Fp(e)22 b Fu(+)2643
3567 y(1)p 2565 3612 204 4 v 2565 3703 a Fp(w)s Fu(\()p
Fp(x)p Fu(\))2779 3635 y(\))p Fp(dx:)486 3866 y Fu(Clearly)32
b(w)m(e)h(can)f(\014nd)g(a)f(constan)m(t)h Fp(M)42 b
Fu(big)32 b(enough)g(suc)m(h)h(that)e Fp(M)39 b(>)27
b(E)38 b Fu(and)386 3989 y(log)512 3943 y Fj(\000)592
3915 y Fh(")p 577 3927 61 3 v 577 3969 a Fi(2)p Fh(q)652
3989 y Fu(\()p Fp(e)30 b Fu(+)g Fp(M)10 b Fu(\))46 b(is)f(as)g(small)h
(as)e(w)m(e)i(wish.)81 b(Com)m(bining)47 b(this)e(with)g(\(3.17\),)386
4105 y(\(3.18\))o(,)33 b(\(3.19\))f(and)g(\(3.20\))g(w)m(e)i(arriv)m(e)
f(at)600 4185 y Fk(Z)655 4410 y Fj(f)p Fq(x)p Fj(2)p
Fq(B)s Fn(:1)p Fq(=w)r Fn(\()p Fq(x)p Fn(\))p Fq(>E)t
Fj(g)1237 4320 y Fu(log)1363 4277 y Fq(q)r Fj(\000)p
Fq(")1489 4320 y Fu(\()p Fp(e)22 b Fu(+)1780 4253 y(1)p
1702 4297 204 4 v 1702 4389 a Fp(w)s Fu(\()p Fp(x)p Fu(\))1916
4320 y(\))p Fp(dx)27 b Fo(\024)i Fp(C)7 b Fu(\()p Fp(p;)17
b(t;)g(";)g(n;)g(E)6 b(;)17 b Fo(j)p Fp(B)5 b Fo(j)p
Fp(;)17 b(F)d Fu(\)+)839 4622 y(+)p Fp(C)7 b Fu(\()p
Fp(q)t(;)17 b(")p Fu(\))1222 4486 y Fk(Z)1276 4712 y
Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:1)p Fq(=w)r Fn(\()p Fq(x)p
Fn(\))p Fq(>)1803 4685 y Fh(E)p 1756 4697 142 3 v 1756
4738 a(A)p Fi(\()p Fh(E)s Fi(\))1908 4712 y Fj(g)1964
4622 y Fu(log)2090 4576 y Fq(q)r Fj(\000)p Fq(")p Fj(\000)2292
4548 y Fh(")p 2276 4560 61 3 v 2276 4602 a Fi(2)p Fh(q)2351
4622 y Fu(\()p Fp(e)22 b Fu(+)2642 4555 y(1)p 2564 4599
204 4 v 2564 4690 a Fp(w)s Fu(\()p Fp(x)p Fu(\))2778
4622 y(\))p Fp(dx)526 4925 y Fo(\024)28 b Fp(C)7 b Fu(\()p
Fp(p;)17 b(t;)g(";)g(n;)g(E)6 b(;)17 b Fo(j)p Fp(B)5
b Fo(j)p Fp(;)17 b(F)d Fu(\))19 b(+)1653 4858 y(1)p 1653
4903 49 4 v 1653 4994 a(2)1729 4790 y Fk(Z)1784 5015
y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:1)p Fq(=w)r Fn(\()p
Fq(x)p Fn(\))p Fq(>M)7 b Fj(g)2385 4925 y Fu(log)2511
4883 y Fq(q)r Fj(\000)p Fq(")2637 4925 y Fu(\()p Fp(e)22
b Fu(+)2928 4858 y(1)p 2850 4903 204 4 v 2850 4994 a
Fp(w)s Fu(\()p Fp(x)p Fu(\))3064 4925 y(\))p Fp(dx:)386
5135 y Fu(Since)34 b Fp(w)c Fo(\025)e Fp(\016)36 b Fu(for)c(some)i
Fp(\016)d(>)d Fu(0,)k(all)h(the)g(in)m(tegrals)g(are)g(\014nite)g(and)g
(w)m(e)g(obtain)386 5251 y(\(3.21\))473 5285 y Fk(Z)528
5510 y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:1)p Fq(=w)r Fn(\()p
Fq(x)p Fn(\))p Fq(>M)7 b Fj(g)1130 5420 y Fu(log)1256
5377 y Fq(q)r Fj(\000)p Fq(")1381 5420 y Fu(\()p Fp(e)23
b Fu(+)1672 5353 y(1)p 1595 5397 V 1595 5489 a Fp(w)s
Fu(\()p Fp(x)p Fu(\))1808 5420 y(\))p Fp(dx)28 b Fo(\024)g
Fp(C)2162 5340 y Fk(\000)2208 5420 y Fp(p;)17 b(t;)g(n;)g(";)g
Fo(j)p Fp(B)5 b Fo(j)p Fp(;)2751 5285 y Fk(Z)2804 5510
y Fq(B)2881 5420 y Fp(w)s(;)2998 5285 y Fk(Z)3053 5510
y Fn(2)p Fq(B)3165 5420 y Fp(F)3242 5340 y Fk(\001)386
5656 y Fu(whic)m(h)34 b(implies)g(\(3.11\))o(.)p eop
end end
%%Page: 11 11
TeXDict begin HPSdict begin 11 10 bop 977 293 a Fl(REVERSE)32
b(INEQUALITIES)g(F)n(OR)h(THE)g(JA)n(COBIAN)514 b(11)486
492 y Fu(No)m(w)49 b(supp)s(ose)h(that)e Fp(w)57 b Fo(2)f
Fp(L)1649 456 y Fn(1)1649 518 y(lo)r(c)1741 492 y Fu(\(\012\))49
b(is)g(arbitrary)g(non-negativ)m(e)g(w)m(eigh)m(t.)386
608 y(Thanks)39 b(to)e(Lemma)h(3.4)f(w)m(e)h(ha)m(v)m(e)h(that)e
(\(3.21\))g(holds)h(for)f Fp(w)2745 623 y Fq(\016)2819
608 y Fu(=)e(max)q Fo(f)p Fp(w)s(;)17 b(\016)t Fo(g)386
724 y Fu(and)48 b(it)g(is)g(easy)h(to)f(c)m(hec)m(k)i(that)d(w)m(e)i
(can)g(mak)m(e)g(the)f(constan)m(ts)h Fp(C)55 b Fu(and)48
b Fp(M)386 841 y Fu(indep)s(enden)m(t)36 b(on)e(the)h(v)-5
b(alue)35 b(of)e Fp(\016)38 b Fu(if)c Fp(\016)k Fu(is)d(su\016cien)m
(tly)i(small.)49 b(Sending)35 b Fp(\016)j Fu(to)c(0)386
957 y(w)m(e)g(obtain)e(the)h(result)h(also)e(for)g Fp(w)s
Fu(.)1580 b Fe(\003)386 1116 y Fz(Remark)38 b(3.6.)43
b Fs(We)35 b(wil)5 b(l)35 b(ne)-5 b(e)g(d)34 b(a)i(mor)-5
b(e)34 b(explicit)h(form)g(of)g(the)g(c)-5 b(onstant)35
b(fr)-5 b(om)386 1232 y Fu(\(3.21\))39 b Fs(later.)59
b(Namely,)41 b(if)e Fp(t)e Fo(\024)g Fu(1)i Fs(and)g
Fp(")e Fu(=)2119 1193 y Fn(1)p 2119 1209 36 4 v 2119
1267 a(3)2174 1188 y Fq(p)p Fj(\000)p Fn(1)p 2174 1209
126 4 v 2206 1267 a Fq(pt)2310 1232 y Fs(,)j(by)g(a)g(c)-5
b(ar)g(eful)39 b(analysis)g(of)386 1357 y(the)c(c)-5
b(onstants)34 b(in)h(the)g(pr)-5 b(o)g(of)34 b(of)h(The)-5
b(or)g(em)33 b(3.5,)i(we)f(otain)h(the)f(estimate)768
1425 y Fk(Z)823 1651 y Fq(B)900 1561 y Fu(log)1036 1487
y Fi(2)p 1036 1499 31 3 v 1036 1540 a(3)1087 1484 y Fh(p)p
Fd(\000)p Fi(1)p 1087 1499 111 3 v 1114 1540 a Fh(pt)1211
1561 y Fu(\()p Fp(e)22 b Fu(+)1502 1494 y(1)p 1424 1538
204 4 v 1424 1629 a Fp(w)s Fu(\()p Fp(x)p Fu(\))1638
1561 y(\))p Fp(dx)28 b Fo(\024)g Fp(C)1992 1480 y Fk(\000)2038
1561 y Fp(p;)17 b(n;)g Fo(j)p Fp(B)5 b Fo(j)p Fp(;)2412
1425 y Fk(Z)2466 1651 y Fq(B)2543 1561 y Fp(w)2616 1480
y Fk(\001)2671 1475 y Fi(1)p 2671 1487 31 3 v 2674 1529
a Fh(t)2732 1425 y Fk(Z)2787 1651 y Fn(2)p Fq(B)2900
1561 y Fp(F)s(:)486 1780 y Fu(The)41 b(follo)m(wing)g(t)m(w)m(o)g
(theorems)h(giv)m(e)g(the)f(in)m(tegrabilit)m(y)h(result)f(of)f(1)p
Fp(=w)s Fu(\()p Fp(x)p Fu(\))386 1896 y(for)32 b(the)h(w)m(eigh)m(ts)h
Fp(w)s Fu(\()p Fp(x)p Fu(\))f(satisfying)g(\(3.2\))f(and)h(\(3.3\),)f
(resp)s(ectiv)m(ely)-8 b(.)386 2055 y Fz(Theorem)46 b(3.7.)f
Fs(L)-5 b(et)41 b Fu(\012)f Fo(\032)f Fr(R)1560 2019
y Fq(n)1648 2055 y Fs(b)-5 b(e)41 b(a)g(domain,)g Fp(p)e(>)g
Fu(1)p Fs(,)j Fp(t)d(>)g Fu(0)i Fs(and)f(let)i Fp(F)52
b Fo(2)386 2172 y Fp(L)452 2135 y Fn(1)452 2198 y(lo)r(c)545
2172 y Fu(\(\012\))p Fs(.)43 b(Supp)-5 b(ose)31 b(that)h(a)f(non-ne)-5
b(gative)29 b(weight)i Fp(w)f Fo(2)e Fp(L)2533 2135 y
Fn(1)2533 2198 y(lo)r(c)2626 2172 y Fu(\(\012\))j Fs(satis\014es)39
b Fu(\(3.2\))386 2288 y Fs(for)c(every)f(b)-5 b(al)5
b(l)35 b Fp(B)40 b Fs(such)34 b(that)i Fu(2)p Fp(B)c
Fo(\032)c Fu(\012)p Fs(.)46 b(Then)34 b(for)g(every)h
Fp(")27 b(>)h Fu(0)35 b Fs(we)f(have)1216 2488 y Fu(log)1352
2418 y Fi(1)p 1352 2430 V 1355 2471 a Fh(t)1392 2445
y Fj(\000)p Fq(")1500 2488 y Fu(log)q(\()p Fp(e)23 b
Fu(+)1917 2420 y(1)p 1839 2465 204 4 v 1839 2556 a Fp(w)s
Fu(\()p Fp(x)p Fu(\))2053 2488 y(\))28 b Fo(2)g Fp(L)2279
2447 y Fn(1)2279 2512 y(lo)r(c)2372 2488 y Fu(\(\012\))p
Fp(:)386 2701 y Fs(Pr)-5 b(o)g(of.)41 b Fu(The)29 b(pro)s(of)e(of)h
(this)h(theorem)g(is)f(similar)h(to)f(the)h(pro)s(of)e(of)h(Theorem)h
(3.5)386 2818 y(and)38 b(therefore)g(w)m(e)h(will)f(not)f(giv)m(e)i
(all)f(the)g(details.)59 b(Fix)38 b(a)f(ball)h Fp(B)43
b Fu(suc)m(h)c(that)386 2934 y(2)p Fp(B)33 b Fo(\032\032)28
b Fu(\012)33 b(and)g(\014x)g Fp(\025)28 b(>)f Fu(max)q
Fo(f)p Fu(1)p Fp(=)21 b Fo(\000)1702 2854 y Fk(R)1749
2968 y Fq(B)1827 2934 y Fp(w)s(;)c Fu(2)p Fo(g)p Fu(.)42
b(Set)387 3149 y Fp(\014)33 b Fu(=)28 b(1)22 b Fo(\000)759
3082 y Fu(1)p 759 3126 49 4 v 766 3217 a Fp(t)840 3149
y Fu(+)g Fp(";)49 b(A)p Fu(\()p Fp(\025)p Fu(\))28 b(=)f(log)18
b Fp(\025)f Fu(log)1739 3106 y Fn(1)p Fj(\000)p Fq(")1883
3149 y Fu(log)g Fp(\025)33 b Fu(and)g Fp(B)5 b Fu(\()p
Fp(\025)p Fu(\))27 b(=)2973 3082 y(1)p 2658 3126 679
4 v 2658 3227 a Fp(\025)17 b Fu(log)g Fp(\025)g Fu(log)3073
3184 y Fq(\014)3137 3227 y Fu(log)h Fp(\025)3347 3149
y(:)386 3377 y Fu(Clearly)39 b(w)m(e)g(ma)m(y)f(assume)i(that)d
Fp(")h Fu(is)g(so)g(small)h(that)e Fp(")g(<)2661 3338
y Fn(1)p 2648 3355 61 4 v 2648 3412 a(2)p Fq(t)2719 3377
y Fu(.)59 b(Since)39 b Fp(a)p Fu(\()p Fp(B)5 b Fu(\))38
b(is)386 3495 y(no)m(w)33 b(giv)m(en)h(b)m(y)h(\(3.7\))d(w)m(e)h
(obtain)g(analogously)g(to)f(the)h(pro)s(of)f(of)39 b(\(3.17\))32
b(that)1081 3571 y Fk(Z)1181 3597 y Fj(1)1136 3797 y
Fq(E)1272 3707 y Fp(B)5 b Fu(\()p Fp(\025)p Fu(\))p Fo(jf)p
Fp(x)27 b Fo(2)h Fp(B)33 b Fu(:)28 b(1)p Fp(=w)s Fu(\()p
Fp(x)p Fu(\))f Fp(>)h(\025)p Fo(gj)p Fp(d\025)e Fo(\024)445
3988 y(\024)i Fp(C)7 b Fu(\()p Fp(p;)17 b(t;)g(n;)g(F)d
Fu(\))1071 3852 y Fk(Z)1169 3878 y Fj(1)1125 4078 y Fq(E)1389
3920 y Fp(B)5 b Fu(\()p Fp(\025)p Fu(\))p 1270 3965 449
4 v 1270 4069 a(log)1396 4027 y Fn(1)p Fq(=t)1513 4069
y Fp(A)p Fu(\()p Fp(\025)p Fu(\))1751 3988 y(+)22 b Fp(C)7
b Fu(\()p Fp(n)p Fu(\))2077 3852 y Fk(Z)2176 3878 y Fj(1)2132
4078 y Fq(E)2268 3988 y Fp(B)e Fu(\()p Fp(\025)p Fu(\))p
Fp(\025)2554 3852 y Fk(Z)2608 4078 y Fj(f)p Fq(x)p Fj(2)p
Fq(B)s Fn(:)2864 4050 y Fh(\025)p 2817 4062 131 3 v 2817
4104 a(A)p Fi(\()p Fh(\025)p Fi(\))2957 4078 y Fq(<)3071
4050 y Fi(1)p 3022 4062 129 3 v 3022 4104 a Fh(w)q Fi(\()p
Fh(x)p Fi(\))3161 4078 y Fj(g)3217 3988 y Fp(w)s(:)386
4220 y Fu(F)-8 b(rom)37 b(1)25 b Fo(\000)g Fu(1)p Fp(=t)36
b(<)f(\014)43 b Fu(w)m(e)38 b(obtain)f(that)g(the)g(\014rst)h(in)m
(tegral)f(on)g(the)h(righ)m(t)f(hand)386 4345 y(side)44
b(is)f(\014nite.)75 b(Similarly)44 b(to)e(\(3.20\))g(w)m(e)i(use)g
(substitution)2754 4319 y(~)2750 4345 y Fp(\025)h Fu(=)3037
4306 y Fq(\025)p 2983 4322 149 4 v 2983 4379 a(A)p Fn(\()p
Fq(\025)p Fn(\))3185 4345 y Fu(\(i.e.,)386 4497 y Fp(\025)37
b Fo(\030)599 4471 y Fu(~)595 4497 y Fp(\025)16 b Fu(log)815
4471 y(~)811 4497 y Fp(\025)g Fu(log)1010 4454 y Fn(1)p
Fj(\000)p Fq(")1154 4497 y Fu(log)1300 4471 y(~)1296
4497 y Fp(\025)p Fu(\))38 b(in)h(the)f(second)i(term)e(on)g(the)h(righ)
m(t)f(hand)h(side)g(to)386 4613 y(obtain)988 4624 y Fk(Z)1088
4650 y Fj(1)1044 4849 y Fq(E)1179 4759 y Fp(B)5 b Fu(\()p
Fp(\025)p Fu(\))p Fp(\025)33 b(\026)1540 4774 y Fn(1)1579
4759 y Fu(\()p Fo(f)p Fp(x)28 b Fo(2)g Fp(B)33 b Fu(:)27
b Fp(w)2075 4774 y Fn(1)2142 4759 y Fp(>)2330 4692 y(\025)p
2256 4736 206 4 v 2256 4828 a(A)p Fu(\()p Fp(\025)p Fu(\))2472
4759 y Fo(g)p Fu(\))p Fp(d\025)g Fo(\024)741 5017 y(\024)h
Fp(C)7 b Fu(\()p Fp(p;)17 b(t;)g(")p Fu(\))1234 4881
y Fk(Z)1288 5107 y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:1)p
Fq(=w)r Fn(\()p Fq(x)p Fn(\))p Fq(>)1815 5080 y Fh(E)p
1768 5092 142 3 v 1768 5133 a(A)p Fi(\()p Fh(E)s Fi(\))1920
5107 y Fj(g)1976 5017 y Fu(log)2112 4947 y Fi(1)p 2112
4959 31 3 v 2115 5000 a Fh(t)2152 4974 y Fj(\000)p Fn(2)p
Fq(")2296 5017 y Fu(log)q(\()p Fp(e)22 b Fu(+)2713 4949
y(1)p 2635 4994 204 4 v 2635 5085 a Fp(w)s Fu(\()p Fp(x)p
Fu(\))2849 5017 y(\))p Fp(dx:)386 5257 y Fu(W)-8 b(e)39
b(can)f(\014nd)h Fp(M)49 b Fu(big)39 b(enough)g(to)f(mak)m(e)h(log)2110
5214 y Fj(\000)p Fq(")2218 5257 y Fu(log)q(\()p Fp(e)27
b Fu(+)f Fp(M)10 b Fu(\))39 b(v)m(ery)g(small)h(and)386
5373 y(therefore)33 b(analogously)g(to)f(the)h(pro)s(of)f(of)39
b(\(3.21\))32 b(w)m(e)h(obtain)393 5447 y Fk(Z)449 5673
y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:1)p Fq(=w)r Fn(\()p
Fq(x)p Fn(\))p Fq(>M)7 b Fj(g)1050 5583 y Fu(log)1186
5513 y Fi(1)p 1186 5525 31 3 v 1189 5566 a Fh(t)1227
5540 y Fj(\000)p Fq(")1335 5583 y Fu(log)q(\()p Fp(e)22
b Fu(+)1752 5515 y(1)p 1674 5560 204 4 v 1674 5651 a
Fp(w)s Fu(\()p Fp(x)p Fu(\))1888 5583 y(\))p Fp(dx)28
b Fo(\024)g Fp(C)2242 5502 y Fk(\000)2287 5583 y Fp(p;)17
b(t;)g(n;)g(";)g Fo(j)p Fp(B)5 b Fo(j)p Fp(;)2830 5447
y Fk(Z)2884 5673 y Fq(B)2961 5583 y Fp(w)s(;)3078 5447
y Fk(Z)3132 5673 y Fn(2)p Fq(B)3245 5583 y Fp(F)3322
5502 y Fk(\001)p eop end end
%%Page: 12 12
TeXDict begin HPSdict begin 12 11 bop 386 293 a Fl(12)322
b(ST)-6 b(ANISLA)d(V)23 b(HENCL,)j(PEKKA)f(K)n(OSKELA)f(AND)h(XIA)n(O)f
(ZHONG)386 492 y Fu(for)39 b(w)m(eigh)m(ts)i(whic)m(h)g(satisfy)f
Fp(w)i Fo(\025)e Fp(\016)j Fu(for)c(some)i Fp(\016)i(>)c
Fu(0.)64 b(Using)40 b(an)f(analog)g(of)386 608 y(Lemma)44
b(3.4)f(for)g(w)m(eigh)m(ts)i(satisfying)h(\(3.2\))d(w)m(e)h(obtain)g
(the)f(result)i(also)e(for)386 724 y(general)33 b(w)m(eigh)m(ts.)2235
b Fe(\003)386 906 y Fz(Theorem)41 b(3.8.)i Fs(L)-5 b(et)38
b Fu(\012)33 b Fo(\032)f Fr(R)1536 870 y Fq(n)1621 906
y Fs(b)-5 b(e)37 b(a)g(domain,)g Fp(\013)c(>)f Fu(0)37
b Fs(and)g(let)g Fp(F)46 b Fo(2)33 b Fp(L)3106 870 y
Fn(1)3106 932 y(lo)r(c)3198 906 y Fu(\(\012\))p Fs(.)386
1022 y(Supp)-5 b(ose)27 b(that)i(a)f(non-ne)-5 b(gative)26
b(weight)i Fp(w)i Fo(2)e Fp(L)2139 986 y Fn(1)2139 1048
y(lo)r(c)2232 1022 y Fu(\(\012\))h Fs(satis\014es)35
b Fu(\(3.3\))28 b Fs(for)g(every)386 1138 y(b)-5 b(al)5
b(l)34 b Fp(B)40 b Fs(such)35 b(that)g Fu(4)p Fp(B)e
Fo(\032)28 b Fu(\012)p Fs(.)45 b(Then)34 b(for)h(every)g
Fp(")27 b(>)g Fu(0)35 b Fs(we)g(have)1211 1351 y Fu(log)1347
1281 y Fh(\013)p 1347 1293 41 3 v 1352 1334 a Fi(2)1397
1308 y Fj(\000)p Fq(")1505 1351 y Fu(log)q(\()p Fp(e)22
b Fu(+)1922 1283 y(1)p 1844 1328 204 4 v 1844 1419 a
Fp(w)s Fu(\()p Fp(x)p Fu(\))2058 1351 y(\))28 b Fo(2)g
Fp(L)2284 1309 y Fn(1)2284 1375 y(lo)r(c)2376 1351 y
Fu(\(\012\))p Fp(:)386 1598 y Fs(Pr)-5 b(o)g(of.)41 b
Fu(Fix)34 b(a)f(ball)h Fp(B)39 b Fu(suc)m(h)c(that)f(4)p
Fp(B)g Fo(\032\032)d Fu(\012)j(and)f(\014x)i Fp(\025)29
b(>)h Fu(max)p Fo(f)p Fu(1)p Fp(=)23 b Fo(\000)3009 1517
y Fk(R)3056 1632 y Fq(B)3133 1598 y Fp(w)s(;)17 b Fu(2)p
Fo(g)p Fu(.)386 1714 y(Set)386 1907 y Fp(\014)33 b Fu(=)28
b(1)19 b Fo(\000)753 1839 y Fp(\013)p 753 1884 63 4 v
760 1975 a Fu(2)845 1907 y(+)h Fp(";)47 b(A)p Fu(\()p
Fp(\025)p Fu(\))28 b(=)f(log)18 b Fp(\025)f Fu(log)1740
1864 y Fn(1)p Fj(\000)p Fq(")1884 1907 y Fu(log)h Fp(\025)32
b Fu(and)h Fp(B)5 b Fu(\()p Fp(\025)p Fu(\))27 b(=)2974
1839 y(1)p 2659 1884 679 4 v 2659 1985 a Fp(\025)17 b
Fu(log)g Fp(\025)g Fu(log)3074 1942 y Fq(\014)3138 1985
y Fu(log)h Fp(\025)3348 1907 y(:)386 2140 y Fu(Clearly)40
b(w)m(e)f(ma)m(y)h(assume)g(that)f Fp(")f Fu(is)h(so)g(small)g(that)g
Fp(")f(<)2659 2101 y Fq(\013)p 2659 2117 46 4 v 2664
2175 a Fn(4)2715 2140 y Fu(.)61 b(Since)40 b Fp(a)p Fu(\()p
Fp(B)5 b Fu(\))39 b(is)386 2258 y(no)m(w)33 b(giv)m(en)h(b)m(y)h
(\(3.9\))d(w)m(e)h(obtain)g(analogously)g(to)f(the)h(pro)s(of)f(of)39
b(\(3.17\))32 b(that)1081 2346 y Fk(Z)1181 2373 y Fj(1)1136
2572 y Fq(E)1272 2482 y Fp(B)5 b Fu(\()p Fp(\025)p Fu(\))p
Fo(jf)p Fp(x)27 b Fo(2)h Fp(B)33 b Fu(:)28 b(1)p Fp(=w)s
Fu(\()p Fp(x)p Fu(\))f Fp(>)h(\025)p Fo(gj)p Fp(d\025)e
Fo(\024)423 2788 y(\024)i Fp(C)7 b Fu(\()p Fp(\013)q(;)17
b(";)g(n;)g(F)d Fu(\))1074 2652 y Fk(Z)1171 2678 y Fj(1)1127
2878 y Fq(E)1401 2720 y Fp(B)5 b Fu(\()p Fp(\025)p Fu(\))p
1272 2765 469 4 v 1272 2869 a(log)1398 2827 y Fq(\013=)p
Fn(2)1535 2869 y Fp(A)p Fu(\()p Fp(\025)p Fu(\))1773
2788 y(+)22 b Fp(C)7 b Fu(\()p Fp(n)p Fu(\))2099 2652
y Fk(Z)2198 2678 y Fj(1)2154 2878 y Fq(E)2290 2788 y
Fp(B)e Fu(\()p Fp(\025)p Fu(\))p Fp(\025)2576 2652 y
Fk(Z)2630 2878 y Fj(f)p Fq(x)p Fj(2)p Fq(B)s Fn(:)2886
2850 y Fh(\025)p 2839 2862 131 3 v 2839 2904 a(A)p Fi(\()p
Fh(\025)p Fi(\))2979 2878 y Fq(<)3093 2850 y Fi(1)p 3044
2862 129 3 v 3044 2904 a Fh(w)q Fi(\()p Fh(x)p Fi(\))3183
2878 y Fj(g)3239 2788 y Fp(w)s(:)386 3032 y Fu(Since)45
b(an)f(analogof)f(Lemma)h(3.4)g(is)g(true)h(for)e(w)m(eigh)m(ts)j
(satisfying)g(\(3.3\))e(w)m(e)386 3148 y(obtain)32 b(the)h(result)h
(analogously)f(to)f(the)h(pro)s(of)f(of)g(Theorem)i(3.7.)422
b Fe(\003)1284 3381 y Fu(4.)48 b Ft(Examples)37 b(of)i(weights)486
3555 y Fu(The)23 b(examples)h(in)e(this)h(section)h(sho)m(w)f(that)f
(the)h(results)g(on)f(the)h(in)m(tegrabilit)m(y)386 3672
y(of)574 3632 y Fn(1)p 518 3649 148 4 v 518 3706 a Fq(w)r
Fn(\()p Fq(x)p Fn(\))719 3672 y Fu(from)43 b(the)i(last)f(section)h
(cannot)e(b)s(e)h(essen)m(tially)j(impro)m(v)m(ed.)79
b(Again)386 3800 y(w)m(e)44 b(giv)m(e)h(all)e(the)h(details)g(and)f
(computations)i(only)e(in)h(the)g(\014rst)g(case.)76
b(F)-8 b(or)386 3916 y(simplicit)m(y)g(,)37 b(w)m(e)f(giv)m(e)f(the)g
(examples)h(in)f(the)g(real)g(line;)h(similar)f(examples)h(can)386
4033 y(b)s(e)d(constructed)h(in)f(higher)g(dimensions.)386
4214 y Fz(Example)52 b(4.1.)c Fs(L)-5 b(et)47 b Fp(")h(>)g
Fu(0)p Fs(,)g Fp(p)g(>)g Fu(1)e Fs(and)f Fp(t)k(>)f Fu(0)p
Fs(.Ther)-5 b(e)45 b(is)h(a)f(weight)h Fp(w)51 b Fu(:)386
4330 y([)p Fo(\000)p Fu(1)p Fp(;)17 b Fu(1])28 b Fo(!)f
Fu(\(0)p Fp(;)17 b Fo(1)p Fu(\))34 b Fs(which)g(satis\014es)42
b Fu(\(3.1\))34 b Fs(but)386 4585 y Fu(\(4.1\))1168 4449
y Fk(Z)54 b Fi(1)p 1277 4461 31 3 v 1277 4502 a(2)1223
4675 y Fn(0)1338 4585 y Fu(log)1474 4508 y Fh(p)p Fd(\000)p
Fi(1)p 1474 4523 111 3 v 1502 4565 a Fh(pt)1595 4539
y Fn(+)p Fq(")1686 4585 y Fu(\()p Fp(e)23 b Fu(+)f(1)p
Fp(=w)s Fu(\()p Fp(x)p Fu(\)\))p Fp(dx)27 b Fu(=)g Fo(1)p
Fp(:)386 4823 y Fs(Pr)-5 b(o)g(of.)41 b Fu(Clearly)30
b(w)m(e)g(can)e(\014nd)i Fp(\016)h Fu(=)d Fp(\016)t Fu(\()p
Fp(p;)17 b(t;)g(")p Fu(\))26 b Fp(>)i Fu(0)g(small)i(enough)f(suc)m(h)h
(that)e(for)386 4941 y Fp(\015)33 b Fu(=)615 4897 y Fq(pt)p
583 4918 126 4 v 583 4975 a(p)p Fj(\000)p Fn(1)741 4941
y Fo(\000)23 b Fp(\016)36 b Fu(and)1359 5141 y Fp(w)s
Fu(\()p Fp(x)p Fu(\))27 b(=)h(exp)1843 5060 y Fk(\000)1913
5073 y Fo(\000)p Fu(1)p 1899 5118 156 4 v 1899 5209 a
Fo(j)p Fp(x)p Fo(j)2010 5180 y Fq(\015)2064 5060 y Fk(\001)2218
5073 y Fu(1)p 2119 5118 246 4 v 2119 5209 a Fo(j)p Fp(x)p
Fo(j)2230 5180 y Fq(\015)t Fn(+1)2375 5141 y Fp(:)386
5350 y Fu(w)m(e)46 b(ha)m(v)m(e)h(\(4.1\))o(.)82 b(W)-8
b(e)46 b(claim)f(that)h(the)f(w)m(eigh)m(t)i Fp(w)h Fu(satis\014es)f
(\(3.1\))d(with)i(the)386 5466 y(in)m(tegrable)33 b(function)h
Fp(F)46 b Fu(where)1488 5656 y Fp(F)14 b Fu(\()p Fp(x)p
Fu(\))28 b(=)g Fp(C)7 b Fo(j)p Fp(x)p Fo(j)2016 5609
y Fj(\000)p Fq(\015)2121 5579 y Fh(p)p Fd(\000)p Fi(1)p
2121 5594 111 3 v 2148 5635 a Fh(pt)2245 5656 y Fp(:)p
eop end end
%%Page: 13 13
TeXDict begin HPSdict begin 13 12 bop 977 293 a Fl(REVERSE)32
b(INEQUALITIES)g(F)n(OR)h(THE)g(JA)n(COBIAN)514 b(13)486
492 y Fu(Fix)32 b(0)c Fo(\024)g Fp(a)g(<)f(b)h Fo(\024)h
Fu(1.)43 b(By)33 b(the)g(substitution)h Fp(t)28 b Fu(=)f(1)p
Fp(=x)2501 456 y Fq(\015)2578 492 y Fu(w)m(e)34 b(see)g(that)386
727 y(\(4.2\))697 592 y Fk(Z)797 618 y Fq(b)752 817 y(a)848
727 y Fp(w)c Fu(=)d Fo(\000)p Fp(C)7 b Fu(\()p Fp(\015)e
Fu(\))1354 592 y Fk(Z)1454 618 y Fn(1)p Fq(=b)1554 594
y Fh(\015)1410 817 y Fn(1)p Fq(=a)1517 798 y Fh(\015)1615
727 y Fu(exp)q(\()p Fo(\000)p Fp(s)p Fu(\))p Fp(ds)28
b Fu(=)f Fp(C)7 b Fu(\()p Fp(\015)e Fu(\))2400 646 y
Fk(\000)2446 727 y Fu(exp)2622 660 y Fo(\000)p Fu(1)p
2622 704 127 4 v 2642 795 a Fp(b)2683 767 y Fq(\015)2780
727 y Fo(\000)22 b Fu(exp)3055 660 y Fo(\000)p Fu(1)p
3055 704 V 3070 795 a Fp(a)3121 767 y Fq(\015)3191 646
y Fk(\001)3237 727 y Fp(:)386 960 y Fu(W)-8 b(e)42 b(w)m(an)m(t)h(to)f
(v)m(erify)j(\(3.1\))c(for)h Fp(B)48 b Fu(=)c(\()p Fp(a;)17
b(b)p Fu(\).)72 b(W)-8 b(e)43 b(need)g(to)e(distinguish)j(t)m(w)m(o)386
1076 y(cases.)486 1192 y(First)32 b(supp)s(ose)i(that)386
1394 y(\(4.3\))860 b(exp)1622 1327 y Fo(\000)p Fu(1)p
1622 1371 V 1637 1462 a Fp(a)1688 1434 y Fq(\015)1786
1394 y Fp(<)1900 1327 y Fu(1)p 1900 1371 49 4 v 1900
1462 a(2)1975 1394 y(exp)2151 1327 y Fo(\000)p Fu(1)p
2151 1371 127 4 v 2171 1462 a Fp(b)2212 1434 y Fq(\015)2287
1394 y Fp(:)386 1588 y Fu(Since)33 b(the)f(function)g
Fp(w)s Fu(\()p Fp(x)p Fu(\))f(is)h(increasing)h(for)e(small)h(v)-5
b(alues)33 b(of)e Fp(x)h Fu(w)m(e)g(conclude)386 1705
y(from)g(\(4.2\))g(and)h(\(4.3\))f(that)386 1936 y(\(4.4\))281
b Fo(\000)852 1800 y Fk(Z)952 1827 y Fq(b)907 2026 y(a)986
1825 y Fk(\020)1116 1869 y Fp(w)p 1056 1913 193 4 v 1056
2025 a Fo(\000)1058 1945 y Fk(R)1125 1971 y Fq(b)1105
2060 y(a)1176 2025 y Fp(w)1258 1825 y Fk(\021)1318 1848
y Fq(p)1385 1936 y Fo(\024)28 b Fp(C)7 b Fu(\()p Fp(\015)e(;)17
b(p)p Fu(\))22 b Fo(\000)1804 1800 y Fk(Z)1903 1827 y
Fq(b)1859 2026 y(a)1965 1869 y Fp(w)s Fu(\()p Fp(x)p
Fu(\))p 1965 1913 204 4 v 1971 2025 a Fo(\000)1973 1945
y Fk(R)2040 1971 y Fq(b)2020 2060 y(a)2090 2025 y Fp(w)2178
1825 y Fk(\020)2363 1869 y Fp(w)s Fu(\()p Fp(x)p Fu(\))p
2248 1913 435 4 v 2301 1968 a Fn(1)p 2258 1984 123 4
v 2258 2041 a Fq(b)p Fj(\000)p Fq(a)2407 2007 y Fu(exp)2582
1968 y Fj(\000)p Fn(1)p 2582 1984 91 4 v 2592 2041 a
Fq(b)2622 2023 y Fh(\015)2693 1825 y Fk(\021)2752 1848
y Fq(p)p Fj(\000)p Fn(1)2882 1936 y Fp(dx)28 b Fo(\024)386
2268 y(\024)g Fp(C)7 b Fu(\()p Fp(\015)e(;)17 b(p)p Fu(\))5
b Fo(\000)771 2133 y Fk(Z)871 2159 y Fq(b)826 2358 y(a)932
2201 y Fp(w)s Fu(\()p Fp(x)p Fu(\))p 932 2246 204 4 v
938 2358 a Fo(\000)940 2277 y Fk(R)1007 2304 y Fq(b)987
2392 y(a)1058 2358 y Fp(w)1146 2158 y Fk(\020)1281 2156
y Fn(1)p 1225 2172 148 4 v 1225 2230 a Fq(b)1255 2211
y Fh(\015)s Fi(+1)1399 2195 y Fu(exp)1574 2156 y Fj(\000)p
Fn(1)p 1574 2172 91 4 v 1584 2230 a Fq(b)1614 2211 y
Fh(\015)p 1215 2246 460 4 v 1281 2300 a Fn(1)p 1237 2317
123 4 v 1237 2374 a Fq(b)p Fj(\000)p Fq(a)1386 2340 y
Fu(exp)1562 2300 y Fj(\000)p Fn(1)p 1562 2317 91 4 v
1572 2374 a Fq(b)1602 2355 y Fh(\015)1684 2158 y Fk(\021)1744
2180 y Fq(p)p Fj(\000)p Fn(1)1874 2268 y Fp(dx)28 b Fo(\024)2123
2201 y Fp(C)7 b Fu(\()p Fp(\015)e(;)17 b(p)p Fu(\))p
2123 2246 302 4 v 2140 2337 a Fp(b)2181 2308 y Fq(\015)t
Fn(\()p Fq(p)p Fj(\000)p Fn(1\))2440 2268 y Fo(\000)2413
2133 y Fk(Z)2513 2159 y Fq(b)2468 2358 y(a)2574 2201
y Fp(w)s Fu(\()p Fp(x)p Fu(\))p 2574 2246 204 4 v 2580
2358 a Fo(\000)2582 2277 y Fk(R)2649 2304 y Fq(b)2629
2392 y(a)2699 2358 y Fp(w)2787 2268 y(dx)28 b Fo(\024)3036
2201 y Fp(C)7 b Fu(\()p Fp(\015)e(;)17 b(p)p Fu(\))p
3036 2246 302 4 v 3054 2337 a Fp(b)3095 2308 y Fq(\015)t
Fn(\()p Fq(p)p Fj(\000)p Fn(1\))3348 2268 y Fp(:)386
2492 y Fu(The)33 b(function)h Fp(F)46 b Fu(is)33 b(decreasing)h(and)f
(therefore)386 2718 y(\(4.5\))222 b(\()p Fo(\000)831
2583 y Fk(Z)886 2808 y Fn(2)p Fq(B)999 2718 y Fp(F)14
b Fu(\))1114 2677 y Fq(pt)1206 2718 y Fo(\025)29 b Fp(C)7
b Fu(\()p Fp(p;)17 b(t)p Fu(\)\()p Fo(\000)1615 2583
y Fk(Z)1715 2609 y Fq(b)1670 2808 y(a)1765 2718 y Fp(F)d
Fu(\))1880 2677 y Fq(pt)1973 2718 y Fo(\025)28 b Fp(C)7
b Fu(\()p Fp(p;)17 b(t)p Fu(\)\()p Fp(F)d Fu(\()p Fp(b)p
Fu(\)\))2629 2677 y Fq(pt)2721 2718 y Fu(=)2835 2651
y Fp(C)7 b Fu(\()p Fp(p;)17 b(t)p Fu(\))p 2835 2695 281
4 v 2842 2786 a Fp(b)2883 2758 y Fq(\015)t Fn(\()p Fq(p)p
Fj(\000)p Fn(1\))3125 2718 y Fp(:)386 2934 y Fu(F)-8
b(rom)32 b(\(4.4\))g(and)h(\(4.5\))f(w)m(e)h(obtain)g(\(3.1\))f(in)h
(this)g(case.)486 3050 y(In)f(the)h(second)h(case)g(w)m(e)f(ha)m(v)m(e)
1460 3233 y(exp)1636 3165 y Fo(\000)p Fu(1)p 1636 3210
127 4 v 1651 3301 a Fp(a)1702 3272 y Fq(\015)1800 3233
y Fp(>)1913 3165 y Fu(1)p 1913 3210 49 4 v 1913 3301
a(2)1989 3233 y(exp)2164 3165 y Fo(\000)p Fu(1)p 2164
3210 127 4 v 2184 3301 a Fp(b)2225 3272 y Fq(\015)386
3437 y Fu(whic)m(h)27 b(implies)h Fp(a)g Fo(\030)g Fp(b)p
Fu(.)42 b(Therefore)27 b Fp(w)s Fu(\()p Fp(x)p Fu(\))g
Fo(\030)h Fu(exp)2198 3356 y Fk(\000)2253 3398 y Fj(\000)p
Fn(1)p 2253 3414 91 4 v 2263 3471 a Fq(b)2293 3452 y
Fh(\015)2353 3356 y Fk(\001)2465 3398 y Fn(1)p 2409 3414
148 4 v 2409 3471 a Fq(b)2439 3452 y Fh(\015)s Fi(+1)2592
3437 y Fu(for)d(ev)m(ery)j Fp(x)g Fo(2)g Fu(\()p Fp(a;)17
b(b)p Fu(\))386 3553 y(whic)m(h)34 b(implies)1405 3739
y Fo(\000)1389 3603 y Fk(Z)1489 3629 y Fq(b)1444 3828
y(a)1523 3628 y Fk(\020)1653 3671 y Fp(w)p 1593 3716
193 4 v 1593 3828 a Fo(\000)1595 3747 y Fk(R)1662 3774
y Fq(b)1642 3862 y(a)1713 3828 y Fp(w)1795 3628 y Fk(\021)1855
3650 y Fq(p)1922 3739 y Fo(\024)28 b Fp(C)7 b Fu(\()p
Fp(\015)e(;)17 b(p)p Fu(\))p Fp(:)386 3968 y Fu(Hence)34
b(\(3.1\))e(is)h(clearly)h(v)-5 b(alid)32 b(in)h(this)g(case.)486
4084 y(Since)e(\(3.1\))e(is)i(satis\014ed)h(for)d Fp(B)k
Fu(=)28 b(\()p Fp(a;)17 b(b)p Fu(\))30 b(if)g(0)e Fo(\024)g
Fp(a)g(<)f(b)h Fo(\024)g Fu(1)i(and)h(ev)m(erything)386
4200 y(is)f(symmetric,)i(it)e(is)g(not)f(di\016cult)h(to)f(v)m(erify)i
(it)f(also)f(for)g(the)h(general)g(case)g(\(i.e.)386
4316 y Fo(\000)p Fu(1)e Fo(\024)g Fp(a)g(<)f(b)i Fo(\024)f
Fu(1\).)2181 b Fe(\003)386 4492 y Fz(Example)49 b(4.2.)d
Fs(L)-5 b(et)43 b Fp(")g(>)f Fu(0)p Fs(,)j Fp(p)d(>)h
Fu(1)g Fs(and)f Fp(t)h(>)f Fu(0)p Fs(.)69 b(Ther)-5 b(e)43
b(is)f(a)h(weight)g Fp(w)i Fu(:)386 4608 y([)p Fo(\000)p
Fu(1)p Fp(;)17 b Fu(1])28 b Fo(!)f Fu(\(0)p Fp(;)17 b
Fo(1)p Fu(\))34 b Fs(which)g(satis\014es)42 b Fu(\(3.2\))34
b Fs(but)386 4853 y Fu(\(4.6\))1136 4717 y Fk(Z)1246
4716 y Fi(1)p 1246 4728 31 3 v 1246 4770 a(2)1192 4943
y Fn(0)1307 4853 y Fu(log)1443 4783 y Fi(1)p 1443 4795
V 1446 4836 a Fh(t)1483 4810 y Fn(+)p Fq(")1592 4853
y Fu(log)q(\()p Fp(e)22 b Fu(+)g(1)p Fp(=w)s Fu(\()p
Fp(x)p Fu(\)\))p Fp(dx)27 b Fu(=)h Fo(1)p Fp(:)386 5080
y Fs(Pr)-5 b(o)g(of.)41 b Fu(Clearly)34 b(w)m(e)h(can)e(\014nd)h
Fp(\016)f(>)28 b Fu(0)33 b(small)h(enough)g(suc)m(h)h(that)e(for)f
Fp(\015)i Fu(=)29 b Fp(t)23 b Fo(\000)g Fp(\016)386 5196
y Fu(and)1027 5338 y Fp(w)s Fu(\()p Fp(x)p Fu(\))k(=)g(exp)1511
5257 y Fk(\000)1556 5338 y Fo(\000)17 b Fu(exp)1879 5271
y(1)p 1826 5315 156 4 v 1826 5406 a Fo(j)p Fp(x)p Fo(j)1937
5378 y Fq(\015)1991 5257 y Fk(\001)2053 5338 y Fu(exp)2202
5257 y Fk(\000)2311 5271 y Fu(1)p 2258 5315 V 2258 5406
a Fo(j)p Fp(x)p Fo(j)2369 5378 y Fq(\015)2423 5257 y
Fk(\001)2577 5271 y Fu(1)p 2479 5315 246 4 v 2479 5406
a Fo(j)p Fp(x)p Fo(j)2590 5378 y Fq(\015)t Fn(+1)386
5537 y Fu(w)m(e)48 b(ha)m(v)m(e)h(\(4.6\).)88 b(W)-8
b(e)48 b(claim)g(that)f(\(3.2\))g(is)h(satis\014ed)h(with)f(the)g(in)m
(tegrable)386 5656 y(function)33 b Fp(F)14 b Fu(\()p
Fp(x)p Fu(\))28 b(=)f Fp(C)7 b Fo(j)p Fp(x)p Fo(j)1295
5620 y Fj(\000)p Fq(\015)t(=t)1455 5656 y Fu(.)p eop
end end
%%Page: 14 14
TeXDict begin HPSdict begin 14 13 bop 386 293 a Fl(14)322
b(ST)-6 b(ANISLA)d(V)23 b(HENCL,)j(PEKKA)f(K)n(OSKELA)f(AND)h(XIA)n(O)f
(ZHONG)486 492 y Fu(Analogously)38 b(to)f(the)h(previous)i(example)f(w)
m(e)f(can)g(sho)m(w)h(that)f(if)f(0)f Fo(\024)h Fp(a)g(<)386
608 y(b)28 b Fo(\024)g Fu(1)33 b(and)386 817 y(\(4.7\))574
b(exp)1310 736 y Fk(\000)1356 817 y Fo(\000)17 b Fu(exp)1649
749 y(1)p 1626 794 96 4 v 1626 885 a Fp(a)1677 856 y
Fq(\015)1731 736 y Fk(\001)1805 817 y Fp(<)1918 749 y
Fu(1)p 1918 794 49 4 v 1918 885 a(2)1993 817 y(exp)2142
736 y Fk(\000)2188 817 y Fo(\000)g Fu(exp)2476 749 y(1)p
2458 794 86 4 v 2458 885 a Fp(b)2499 856 y Fq(\015)2554
736 y Fk(\001)386 1018 y Fu(then)386 1134 y(\(4.8\))441
1323 y Fo(\000)425 1187 y Fk(Z)525 1214 y Fq(b)480 1413
y(a)560 1212 y Fk(\020)689 1255 y Fp(w)p 629 1300 193
4 v 629 1412 a Fo(\000)631 1332 y Fk(R)698 1358 y Fq(b)678
1447 y(a)749 1412 y Fp(w)832 1212 y Fk(\021)891 1235
y Fq(p)958 1323 y Fo(\024)29 b Fp(C)7 b Fu(\()p Fp(\015)e(;)17
b(p)p Fu(\))k Fo(\000)1377 1187 y Fk(Z)1476 1214 y Fq(b)1432
1413 y(a)1538 1255 y Fp(w)s Fu(\()p Fp(x)p Fu(\))p 1538
1300 204 4 v 1544 1412 a Fo(\000)1546 1332 y Fk(R)1613
1358 y Fq(b)1593 1447 y(a)1663 1412 y Fp(w)1751 1212
y Fk(\020)1887 1210 y Fn(1)p 1831 1227 148 4 v 1831 1284
a Fq(b)1861 1265 y Fh(\015)s Fi(+1)2004 1250 y Fu(exp)r(\()2219
1210 y Fn(1)p 2202 1227 71 4 v 2202 1284 a Fq(b)2232
1265 y Fh(\015)2281 1250 y Fu(\))c(exp)q(\()p Fo(\000)g
Fu(exp)2810 1210 y Fn(1)p 2793 1227 V 2793 1284 a Fq(b)2823
1265 y Fh(\015)2873 1250 y Fu(\))p 1821 1300 1090 4 v
2052 1355 a Fn(1)p 2009 1371 123 4 v 2009 1428 a Fq(b)p
Fj(\000)p Fq(a)2158 1394 y Fu(exp)q(\()p Fo(\000)g Fu(exp)2632
1355 y Fn(1)p 2615 1371 71 4 v 2615 1428 a Fq(b)2645
1409 y Fh(\015)2695 1394 y Fu(\))2921 1212 y Fk(\021)2980
1235 y Fq(p)p Fj(\000)p Fn(1)3110 1323 y Fp(dx)28 b Fu(=)1406
1667 y(=)1520 1599 y Fp(C)7 b Fu(\()p Fp(\015)e(;)17
b(p)p Fu(\))p 1520 1644 302 4 v 1537 1735 a Fp(b)1578
1706 y Fn(\()p Fq(p)p Fj(\000)p Fn(1\))p Fq(\015)1848
1667 y Fu(exp)1997 1586 y Fk(\000)2052 1599 y Fp(p)22
b Fo(\000)h Fu(1)p 2052 1644 220 4 v 2119 1735 a Fp(b)2160
1706 y Fq(\015)2282 1586 y Fk(\001)2327 1667 y Fp(:)386
1848 y Fu(The)33 b(remaining)h(computations)f(are)g(similar)g(to)f
(those)i(in)e(Example)i(4.1.)120 b Fe(\003)386 2030 y
Fz(Example)41 b(4.3.)i Fs(L)-5 b(et)37 b Fp(")31 b(>)g
Fu(0)37 b Fs(and)f Fp(\013)c(>)f Fu(0)p Fs(.)51 b(Ther)-5
b(e)36 b(is)h(a)f(weight)h Fp(w)c Fu(:)f([)p Fo(\000)p
Fu(1)p Fp(;)17 b Fu(1])31 b Fo(!)386 2146 y Fu(\(0)p
Fp(;)17 b Fo(1)p Fu(\))34 b Fs(which)g(satis\014es)42
b Fu(\(3.3\))34 b Fs(but)386 2403 y Fu(\(4.9\))1132 2268
y Fk(Z)1241 2267 y Fi(1)p 1241 2279 31 3 v 1241 2320
a(2)1187 2493 y Fn(0)1302 2403 y Fu(log)1438 2333 y Fh(\013)p
1438 2345 41 3 v 1443 2387 a Fi(2)1488 2361 y Fn(+)p
Fq(")1597 2403 y Fu(log)q(\()p Fp(e)22 b Fu(+)g(1)p Fp(=w)s
Fu(\()p Fp(x)p Fu(\)\))p Fp(dx)27 b Fu(=)g Fo(1)p Fp(:)386
2650 y Fs(Pr)-5 b(o)g(of.)41 b Fu(Clearly)33 b(w)m(e)f(can)f(\014nd)h
Fp(\016)g(>)27 b Fu(0)k(small)h(enough)g(suc)m(h)h(that)e(for)g
Fp(\015)h Fu(=)3161 2611 y Fn(2)p 3156 2627 46 4 v 3156
2685 a Fq(\013)3231 2650 y Fo(\000)20 b Fp(\016)386 2766
y Fu(and)1027 2921 y Fp(w)s Fu(\()p Fp(x)p Fu(\))27 b(=)g(exp)1511
2840 y Fk(\000)1556 2921 y Fo(\000)17 b Fu(exp)1879 2853
y(1)p 1826 2898 156 4 v 1826 2989 a Fo(j)p Fp(x)p Fo(j)1937
2960 y Fq(\015)1991 2840 y Fk(\001)2053 2921 y Fu(exp)2202
2840 y Fk(\000)2311 2853 y Fu(1)p 2258 2898 V 2258 2989
a Fo(j)p Fp(x)p Fo(j)2369 2960 y Fq(\015)2423 2840 y
Fk(\001)2577 2853 y Fu(1)p 2479 2898 246 4 v 2479 2989
a Fo(j)p Fp(x)p Fo(j)2590 2960 y Fq(\015)t Fn(+1)386
3132 y Fu(w)m(e)48 b(ha)m(v)m(e)h(\(4.9\).)88 b(W)-8
b(e)48 b(claim)g(that)f(\(3.2\))g(is)h(satis\014ed)h(with)f(the)g(in)m
(tegrable)386 3251 y(function)33 b Fp(F)14 b Fu(\()p
Fp(x)p Fu(\))28 b(=)f Fp(C)7 b Fo(j)p Fp(x)p Fo(j)1295
3215 y Fj(\000)p Fq(\013\015)t(=)p Fn(2)1510 3251 y Fu(.)486
3367 y(If)32 b(0)c Fo(\024)g Fp(a)g(<)f(b)h Fo(\024)g
Fu(1)33 b(and)f(\(4.7\))g(then)1176 3611 y Fo(\000)1160
3476 y Fk(Z)1260 3502 y Fq(b)1215 3701 y(a)1381 3544
y Fp(w)p 1321 3588 193 4 v 1321 3700 a Fo(\000)1323 3620
y Fk(R)1390 3646 y Fq(b)1370 3735 y(a)1441 3700 y Fp(w)1540
3611 y Fu(log)1666 3568 y Fq(\013)1716 3501 y Fk(\020)1775
3611 y Fp(e)23 b Fu(+)2144 3544 y Fp(w)p 1951 3588 460
4 v 1951 3700 a Fo(\000)1953 3620 y Fk(R)2000 3735 y
Fn(4)p Fq(B)2113 3700 y Fp(F)36 b Fo(\000)2220 3620 y
Fk(R)2286 3646 y Fq(b)2267 3735 y(a)2337 3700 y Fp(w)2420
3501 y Fk(\021)2507 3611 y Fo(\024)435 3972 y(\024)28
b Fp(C)7 b Fu(\()p Fp(\015)e(;)17 b(\013)q Fu(\))k Fo(\000)867
3836 y Fk(Z)966 3862 y Fq(b)922 4062 y(a)1088 3904 y
Fp(w)p 1028 3949 193 4 v 1028 4061 a Fo(\000)1030 3980
y Fk(R)1097 4007 y Fq(b)1077 4095 y(a)1148 4061 y Fp(w)1247
3972 y Fu(log)1373 3929 y Fq(\013)1422 3861 y Fk(\020)1482
3972 y Fp(e)h Fu(+)1657 3898 y(exp)1806 3817 y Fk(\000)1852
3898 y Fo(\000)17 b Fu(exp)2139 3859 y Fn(1)p 2122 3875
71 4 v 2122 3932 a Fq(b)2152 3913 y Fh(\015)2202 3817
y Fk(\001)2264 3898 y Fu(exp)2413 3817 y Fk(\000)2486
3859 y Fn(1)p 2469 3875 V 2469 3932 a Fq(b)2499 3913
y Fh(\015)2549 3817 y Fk(\001)2660 3859 y Fn(1)p 2604
3875 148 4 v 2604 3932 a Fq(b)2634 3913 y Fi(1+)p Fh(\015)p
1657 3949 1104 4 v 1888 4006 a Fn(1)p 1845 4022 123 4
v 1845 4080 a Fq(b)p Fj(\000)p Fq(a)1994 4045 y Fu(exp)2143
3965 y Fk(\000)2189 4045 y Fo(\000)g Fu(exp)2476 4006
y Fn(1)p 2458 4022 71 4 v 2458 4080 a Fq(b)2488 4061
y Fh(\015)2538 3965 y Fk(\001)2771 3861 y(\021)2858 3972
y Fo(\024)2974 3904 y Fp(C)7 b Fu(\()p Fp(\015)e(;)17
b(\013)q Fu(\))p 2974 3949 316 4 v 3066 4040 a Fp(b)3107
4011 y Fq(\013\015)3299 3972 y Fp(:)386 4208 y Fu(Other)35
b(details)i(can)e(b)s(e)h(carried)g(along)e(the)i(similar)g(lines)g(as)
g(in)f(the)h(previous)386 4324 y(examples.)2498 b Fe(\003)650
4563 y Fu(5.)48 b Ft(Applica)-7 b(tions)38 b(to)g(mappings)f(of)h
(finite)g(distor)-7 b(tion)486 4737 y Fu(In)31 b(this)h(section,)h(w)m
(e)f(giv)m(e)h(the)e(pro)s(ofs)g(of)g(Theorem)i(1.1)e(and)g(Theorem)i
(1.2.)386 4854 y(W)-8 b(e)29 b(start)h(with)f(an)g(elemen)m(tary)i
(lemma,)g(whic)m(h)g(will)e(b)s(e)h(used)g(in)f(the)h(pro)s(of)e(of)386
4970 y(Theorem)34 b(1.1.)386 5153 y Fz(Lemma)47 b(5.1.)f
Fs(Supp)-5 b(ose)41 b(that)g Fp(A)f Fo(\032)h Fr(R)1897
5116 y Fq(n)1985 5153 y Fs(is)g(an)g(op)-5 b(en)41 b(b)-5
b(ounde)g(d)41 b(set)g(and)g(that)386 5269 y Fp(h)35
b Fu(:)f Fp(A)h Fo(!)g Fu([1)p Fp(;)17 b Fo(1)p Fu(\))37
b Fs(is)i(a)f(me)-5 b(asur)g(able)38 b(function.)55 b(Assume)39
b(that)g(ther)-5 b(e)39 b(is)f Fp(r)f(>)e Fu(1)386 5385
y Fs(and)f Fp(C)645 5400 y Fn(2)712 5385 y Fp(>)28 b
Fu(0)34 b Fs(such)h(that)386 5599 y Fu(\(5.1\))1359 5464
y Fk(Z)1414 5689 y Fq(A)1488 5599 y Fp(h)p Fu(\()p Fp(x)p
Fu(\))1675 5558 y Fq(\015)1719 5599 y Fp(dx)28 b Fo(\024)g
Fu(exp)2107 5518 y Fk(\000)2153 5599 y Fp(C)2223 5614
y Fn(2)2262 5599 y Fp(\015)2318 5558 y Fq(r)2356 5518
y Fk(\001)p eop end end
%%Page: 15 15
TeXDict begin HPSdict begin 15 14 bop 977 293 a Fl(REVERSE)32
b(INEQUALITIES)g(F)n(OR)h(THE)g(JA)n(COBIAN)514 b(15)386
492 y Fs(for)35 b(every)f Fp(\015)f Fo(\025)28 b Fu(1)p
Fs(.)45 b(Then)34 b(ther)-5 b(e)35 b(is)f Fp(s)28 b Fu(=)f
Fp(C)7 b Fu(\()p Fp(r)s Fu(\))28 b Fp(>)f Fu(1)35 b Fs(such)f(that)1361
566 y Fk(Z)1417 791 y Fq(A)1490 701 y Fu(exp)q(\(log)1803
659 y Fq(s)1840 701 y Fu(\()p Fp(h)p Fu(\()p Fp(x)p Fu(\)\)\))28
b Fp(<)g Fo(1)p Fp(:)386 937 y Fs(Pr)-5 b(o)g(of.)41
b Fu(Let)33 b Fp(a)28 b Fo(\025)g Fu(1)k(and)h(set)g
Fp(\015)g Fu(=)27 b Fp(a)1714 873 y Fi(1)p 1715 885 31
3 v 1715 926 a Fh(r)1792 937 y Fu(and)386 1239 y(\(5.2\))455
b(\010)1112 1254 y Fq(a)1154 1239 y Fu(\()p Fp(t)p Fu(\))28
b(=)1397 1005 y Fk(8)1397 1095 y(>)1397 1125 y(<)1397
1304 y(>)1397 1334 y(:)1495 1087 y Fu(exp)q(\()p Fp(a)p
Fu(\))p 1495 1131 277 4 v 1544 1222 a(\()1593 1183 y
Fq(a)p 1592 1199 41 4 v 1592 1257 a(\015)1643 1222 y
Fu(\))1681 1194 y Fq(a)1781 1154 y Fp(t)173 b Fu(for)32
b Fp(t)c Fo(2)g Fu([0)p Fp(;)17 b Fu(\()2464 1115 y Fq(a)p
2463 1131 V 2463 1188 a(\015)2513 1154 y Fu(\))2551 1118
y Fq(a)2592 1154 y Fu(])1485 1370 y(exp)q(\()p Fp(\015)5
b(t)1775 1302 y Fi(1)p 1773 1314 34 3 v 1773 1355 a Fh(a)1821
1370 y Fu(\))130 b(for)32 b Fp(t)c Fo(2)g Fu([\()2371
1331 y Fq(a)p 2370 1347 41 4 v 2370 1404 a(\015)2420
1370 y Fu(\))2458 1334 y Fq(a)2500 1370 y Fp(;)17 b Fo(1)p
Fu(\))p Fp(:)386 1542 y Fu(It)33 b(is)g(not)f(di\016cult)i(to)e(v)m
(erify)i(that)e(\010)1792 1557 y Fq(a)1867 1542 y Fu(is)h(a)f(con)m(v)m
(ex)j(function)e(and)g(that)386 1874 y(\(5.3\))390 b(\010)1047
1833 y Fj(\000)p Fn(1)1047 1899 y Fq(a)1142 1874 y Fu(\()p
Fp(t)p Fu(\))27 b(=)1384 1610 y Fk(8)1384 1700 y(>)1384
1730 y(>)1384 1760 y(<)1384 1939 y(>)1384 1969 y(>)1384
1999 y(:)1502 1690 y Fu(\()1551 1651 y Fq(a)p 1550 1667
V 1550 1725 a(\015)1600 1690 y Fu(\))1638 1654 y Fq(a)p
1482 1753 217 4 v 1482 1845 a Fu(exp)18 b Fp(a)1709 1776
y(t)212 b Fu(for)32 b Fp(t)c Fo(2)g Fu([0)p Fp(;)17 b
Fu(exp)q(\()p Fp(a)p Fu(\)])1507 1928 y(1)p 1482 1973
98 4 v 1482 2064 a Fp(\015)1538 2035 y Fq(a)1607 1996
y Fu(log)1733 1953 y Fq(a)1791 1996 y Fp(t)130 b Fu(for)32
b Fp(t)c Fo(2)g Fu([exp)q(\()p Fp(a)p Fu(\))p Fp(;)17
b Fo(1)p Fu(\))p Fp(:)486 2212 y Fu(F)-8 b(rom)32 b(Jensen's)i
(inequalit)m(y)-8 b(,)35 b(\(5.2\))d(and)h(\(5.1\))f(w)m(e)h(obtain)450
2422 y(\010)520 2437 y Fq(a)562 2422 y Fu(\()p Fo(\000)584
2286 y Fk(Z)639 2512 y Fq(A)714 2422 y Fu(log)840 2379
y Fq(a)898 2422 y Fp(h)p Fu(\))28 b Fo(\024)g(\000)1109
2286 y Fk(Z)1164 2512 y Fq(A)1238 2422 y Fu(\010)1308
2437 y Fq(a)1350 2422 y Fu(\(log)1514 2379 y Fq(a)1573
2422 y Fp(h)p Fu(\))f Fo(\024)1849 2354 y Fu(1)p 1810
2399 129 4 v 1810 2490 a Fo(j)p Fp(A)p Fo(j)1948 2311
y Fk(\020)2007 2286 y(Z)2063 2512 y Fj(f)p Fn(log)2189
2486 y Fh(a)2239 2512 y Fq(h<)p Fn(\()2373 2484 y Fh(a)p
2372 2496 36 3 v 2372 2538 a(\015)2417 2512 y Fn(\))2444
2493 y Fh(a)2483 2512 y Fj(g)2539 2422 y Fu(+)2632 2286
y Fk(Z)2686 2512 y Fj(f)p Fn(log)2813 2486 y Fh(a)2862
2512 y Fq(h)p Fj(\025)p Fn(\()2996 2484 y Fh(a)p 2995
2496 V 2995 2538 a(\015)3041 2512 y Fn(\))3068 2493 y
Fh(a)3106 2512 y Fj(g)3146 2311 y Fk(\021)3233 2422 y
Fo(\024)570 2732 y(\024)h Fu(exp)18 b Fp(a)k Fu(+)g Fo(\000)996
2596 y Fk(Z)1051 2822 y Fq(A)1126 2732 y Fp(h)1182 2691
y Fq(\015)1254 2732 y Fo(\024)28 b Fu(exp)18 b Fp(a)k
Fu(+)1746 2665 y(1)p 1706 2709 129 4 v 1706 2800 a Fo(j)p
Fp(A)p Fo(j)1861 2732 y Fu(exp)2010 2651 y Fk(\000)2056
2732 y Fp(C)2126 2747 y Fn(2)2165 2732 y Fp(\015)2221
2691 y Fq(r)2259 2651 y Fk(\001)2332 2732 y Fo(\024)29
b Fu(exp)2587 2651 y Fk(\000)2632 2732 y Fp(C)7 b Fu(\()p
Fp(C)2817 2747 y Fn(2)2856 2732 y Fp(;)17 b Fo(j)p Fp(A)p
Fo(j)p Fu(\))p Fp(a)3118 2651 y Fk(\001)3163 2732 y Fp(:)386
2929 y Fu(Hence)34 b(\(5.3\))e(giv)m(es)i(us)1247 3002
y Fk(Z)1302 3228 y Fq(A)1376 3138 y Fu(log)1502 3095
y Fq(a)1560 3138 y Fp(h)28 b Fo(\024)g Fp(C)7 b Fu(\()p
Fp(C)1934 3153 y Fn(2)1973 3138 y Fp(;)17 b Fo(j)p Fp(A)p
Fo(j)p Fu(\))2184 3097 y Fq(a)2225 3138 y Fp(a)2276 3097
y Fq(a)p Fn(\(1)p Fj(\000)2440 3070 y Fi(1)p 2441 3082
31 3 v 2441 3123 a Fh(r)2482 3097 y Fn(\))386 3359 y
Fu(for)32 b(ev)m(ery)i Fp(a)28 b Fo(\025)g Fu(1.)44 b(W)-8
b(e)33 b(set)g Fp(s)28 b Fu(=)f(1)22 b(+)1772 3320 y
Fn(1)p 1772 3336 36 4 v 1773 3393 a Fq(r)1850 3359 y
Fu(and)32 b(compute)990 3470 y Fk(Z)1046 3695 y Fq(A)1119
3605 y Fu(exp)1268 3525 y Fk(\000)1314 3605 y Fu(log)1440
3563 y Fq(s)1477 3605 y Fu(\()p Fp(h)p Fu(\()p Fp(x)p
Fu(\)\))1740 3525 y Fk(\001)1786 3605 y Fp(dx)c Fu(=)2060
3481 y Fj(1)2023 3511 y Fk(X)2039 3723 y Fq(l)q Fn(=0)2199
3538 y Fu(1)p 2194 3583 59 4 v 2194 3674 a Fp(l)r Fu(!)2279
3470 y Fk(Z)2334 3695 y Fq(A)2408 3605 y Fu(log)2534
3563 y Fq(sl)2609 3605 y Fp(h)g Fo(\024)562 3954 y(\024)g(j)p
Fp(A)p Fo(j)22 b Fu(+)952 3829 y Fj(1)916 3859 y Fk(X)932
4071 y Fq(l)q Fn(=1)1091 3886 y Fu(1)p 1086 3931 V 1086
4022 a Fp(l)r Fu(!)1154 3954 y Fp(C)7 b Fu(\()p Fp(C)1339
3969 y Fn(2)1378 3954 y Fp(;)17 b Fo(j)p Fp(A)p Fo(j)p
Fp(;)g(r)s Fu(\))1680 3912 y Fq(l)1705 3954 y Fp(l)1736
3912 y Fq(l)q(s)p Fn(\(1)p Fj(\000)1918 3885 y Fi(1)p
1918 3897 31 3 v 1918 3938 a Fh(r)1959 3912 y Fn(\))2018
3954 y Fu(=)28 b Fo(j)p Fp(A)p Fo(j)21 b Fu(+)2407 3829
y Fj(1)2370 3859 y Fk(X)2386 4071 y Fq(l)q Fn(=1)2541
3886 y Fp(C)2618 3850 y Fq(l)2644 3886 y Fp(l)2675 3841
y Fq(l)q Fn(\(1)p Fj(\000)2842 3814 y Fi(1)p 2824 3826
66 3 v 2824 3875 a Fh(r)2855 3861 y Fi(2)2899 3841 y
Fn(\))p 2541 3931 391 4 v 2707 4022 a Fp(l)r Fu(!)2969
3954 y Fp(<)27 b Fo(1)p Fp(:)3297 4177 y Fe(\003)486
4343 y Fu(The)44 b(follo)m(wing)h(lemma)f(giv)m(es)h(the)g(doubling)f
(prop)s(ert)m(y)h(of)e(the)h(Jacobian)386 4459 y Fp(J)440
4474 y Fq(f)528 4459 y Fu(of)f(a)g(mapping)g Fp(f)54
b Fu(of)43 b(\014nite)g(distortion.)76 b(It)43 b(is)h(a)f
(generalization)g(of)g([12,)386 4575 y(Theorem)37 b(1.5],)f(whic)m(h)h
(giv)m(es)g(the)f(doubling)g(prop)s(ert)m(y)g(of)f(the)h(Jacobian)g(of)
f(a)386 4692 y(quasiregular)f(mapping.)44 b(The)33 b(ideas)g(of)g(the)g
(pro)s(ofs)f(are)g(similar.)386 4849 y Fz(Lemma)g(5.2.)37
b Fs(L)-5 b(et)29 b Fp(f)39 b Fs(b)-5 b(e)29 b(a)g(mapping)e(of)i
(\014nite)g(distortion)f(in)h Fu(\012)f Fo(\032)g Fr(R)2998
4813 y Fq(n)3045 4849 y Fs(,)i Fp(n)e Fo(\025)g Fu(2)p
Fs(,)386 4965 y(and)h(supp)-5 b(ose)29 b(that)g Fp(f)41
b Fs(is)29 b(c)-5 b(ontinuous,)30 b(op)-5 b(en)29 b(and)g(discr)-5
b(ete)29 b(and)f(that)i Fp(f)40 b Fs(satis\014es)386
5082 y(the)c(Lusin)h(c)-5 b(ondition)36 b Fp(N)10 b Fs(.)50
b(L)-5 b(et)37 b Fp(n)23 b Fo(\000)h Fu(1)31 b Fp(<)f(p)h(<)g(n)36
b Fs(and)g(set)h Fp(t)31 b Fu(=)g Fp(p=)p Fu(\()p Fp(n)23
b Fo(\000)h Fp(p)p Fu(\))p Fs(.)49 b(L)-5 b(et)386 5198
y Fp(A)30 b Fo(\032)h Fu(\012)37 b Fs(b)-5 b(e)36 b(a)g(c)-5
b(omp)g(act)36 b(set)g(and)g(assume)g(that)g(the)h(distortion)f
Fp(K)7 b Fu(\()p Fp(x)p Fu(\))36 b Fs(satis\014es)386
5314 y Fp(K)f Fo(2)28 b Fp(L)664 5278 y Fq(t)664 5340
y Fn(lo)r(c)757 5314 y Fu(\(\012\))p Fs(.)45 b(Then)386
5430 y Fu(\(5.4\))512 5464 y Fk(Z)567 5689 y Fn(2)p Fq(B)680
5599 y Fp(J)734 5614 y Fq(f)807 5599 y Fo(\024)28 b Fp(C)7
b Fu(\()p Fp(n;)17 b(N)10 b Fu(\()p Fp(f)5 b(;)17 b(A)p
Fu(\)\))g(exp)1667 5518 y Fk(\000)1712 5599 y Fp(C)7
b Fu(\()p Fp(p;)17 b(n;)g(N)10 b Fu(\()p Fp(f)5 b(;)17
b(A)p Fu(\)\)\()p Fo(\000)2416 5464 y Fk(Z)2471 5689
y Fn(4)p Fq(B)2585 5599 y Fp(K)2675 5558 y Fq(t)2704
5599 y Fu(\))2831 5523 y Fi(1)p 2752 5535 189 3 v 2752
5576 a Fh(t)p Fi(\()p Fh(n)p Fd(\000)p Fi(1\))2955 5518
y Fk(\001)3017 5464 y(Z)3072 5689 y Fq(B)3150 5599 y
Fp(J)3204 5614 y Fq(f)p eop end end
%%Page: 16 16
TeXDict begin HPSdict begin 16 15 bop 386 293 a Fl(16)322
b(ST)-6 b(ANISLA)d(V)23 b(HENCL,)j(PEKKA)f(K)n(OSKELA)f(AND)h(XIA)n(O)f
(ZHONG)386 492 y Fs(for)35 b(every)f(b)-5 b(al)5 b(l)35
b Fp(B)40 b Fs(such)34 b(that)i Fu(4)p Fp(B)c Fo(\032)c
Fp(A)p Fs(.)386 670 y(Pr)-5 b(o)g(of.)41 b Fu(Fix)22
b(a)g(ball)g Fp(B)27 b Fu(cen)m(tered)d(at)e Fp(x)g Fu(suc)m(h)h(that)f
(4)p Fp(B)33 b Fo(\032)28 b Fp(A)p Fu(.)40 b(Denote)22
b Fp(U)2963 685 y Fn(1)3030 670 y Fu(=)28 b Fp(f)11 b
Fu(\()p Fp(B)5 b Fu(\),)386 786 y Fp(U)452 801 y Fn(2)519
786 y Fu(=)28 b Fp(f)11 b Fu(\(2)p Fp(B)5 b Fu(\))29
b(and)g Fp(U)1167 801 y Fn(3)1235 786 y Fu(=)e Fp(f)11
b Fu(\(4)p Fp(B)5 b Fu(\).)42 b(Since)31 b Fp(f)40 b
Fu(is)30 b(op)s(en,)g Fp(f)11 b Fu(\()p Fp(x)p Fu(\))29
b(is)h(an)g(in)m(terior)g(p)s(oin)m(t)386 903 y(of)i(the)h(op)s(en)g
(connected)h(set)f Fp(U)1574 918 y Fn(1)1614 903 y Fu(.)43
b(Set)386 1066 y(\(5.5\))352 b Fp(l)30 b Fu(=)e(dist)q(\()p
Fp(f)11 b Fu(\()p Fp(x)p Fu(\))p Fp(;)17 b(@)5 b(U)1654
1081 y Fn(1)1694 1066 y Fu(\))32 b(and)h Fp(L)28 b Fu(=)41
b(max)2152 1129 y Fq(y)r Fj(2)p Fq(@)t(U)2325 1138 y
Fi(2)2376 1066 y Fo(j)p Fp(f)11 b Fu(\()p Fp(x)p Fu(\))22
b Fo(\000)g Fp(y)t Fo(j)p Fp(:)386 1283 y Fu(Next,)31
b(let)f Fp(E)36 b Fu(b)s(e)30 b(a)g(line)g(segmen)m(t)i(of)d(length)h
Fp(l)j Fu(joining)c Fp(f)11 b Fu(\()p Fp(x)p Fu(\))30
b(to)g Fp(@)5 b(U)2903 1298 y Fn(1)2973 1283 y Fu(and)30
b(let)g Fp(F)386 1404 y Fu(b)s(e)k(a)g(line)h(segmen)m(t)h(in)p
1283 1324 106 4 v 34 w Fp(U)1349 1419 y Fn(3)1412 1404
y Fo(n)23 b Fp(B)5 b Fu(\()p Fp(f)11 b Fu(\()p Fp(x)p
Fu(\))p Fp(;)17 b(L)p Fu(\))34 b(joining)g(a)g(p)s(oin)m(t)g(in)g
Fp(@)5 b(U)2874 1419 y Fn(2)2949 1404 y Fu(to)34 b(a)g(p)s(oin)m(t)386
1520 y(in)j Fp(@)5 b(U)626 1535 y Fn(3)666 1520 y Fu(.)55
b(Then)38 b Fp(f)1066 1484 y Fj(\000)p Fn(1)1160 1520
y Fu(\()p Fp(E)6 b Fu(\))36 b(joins)h Fp(x)f Fu(to)g
Fp(@)5 b(B)43 b Fu(\(use)37 b([23,)g(Lemma)g(2.3])f(for)g
Fp(B)5 b Fu(\))37 b(and)386 1636 y Fp(f)445 1600 y Fj(\000)p
Fn(1)539 1636 y Fu(\()p Fp(F)14 b Fu(\))32 b(joins)h
Fp(@)5 b Fu(2)p Fp(B)38 b Fu(to)32 b Fp(@)5 b Fu(4)p
Fp(B)39 b Fu(\(use)33 b([23,)g(Lemma)g(2.3])f(for)g(4)p
Fp(B)5 b Fu(\).)486 1753 y(Since)45 b Fp(f)55 b Fu(satis\014es)47
b(the)e(Lusin)g(condition)g Fp(N)55 b Fu(w)m(e)46 b(obtain)e(from)h
(\(2.3\))f(and)386 1869 y(\(5.5\))32 b(that)386 2085
y(\(5.6\))1339 1949 y Fk(Z)1394 2175 y Fq(B)1471 2085
y Fp(J)1525 2100 y Fq(f)1598 2085 y Fo(\025)d(j)p Fp(f)11
b Fu(\()p Fp(B)5 b Fu(\))p Fo(j)26 b(\025)i Fp(C)7 b
Fu(\()p Fp(n)p Fu(\))p Fp(l)2347 2044 y Fq(n)2395 2085
y Fp(:)386 2306 y Fu(Thanks)34 b(to)e(\(2.2\),)g(\(2.4\))g(and)h
(\(5.5\))f(w)m(e)i(ha)m(v)m(e)386 2522 y(\(5.7\))945
2386 y Fk(Z)1000 2612 y Fn(2)p Fq(B)1113 2522 y Fp(J)1167
2537 y Fq(f)1240 2522 y Fo(\024)28 b Fp(N)10 b Fu(\()p
Fp(f)5 b(;)17 b(A)p Fu(\))p Fo(j)p Fp(f)11 b Fu(\(2)p
Fp(B)5 b Fu(\))p Fo(j)27 b(\024)h Fp(C)7 b Fu(\()p Fp(n)p
Fu(\))p Fp(N)j Fu(\()p Fp(f)5 b(;)17 b(A)p Fu(\))p Fp(L)2741
2481 y Fq(n)2789 2522 y Fp(:)386 2742 y Fu(If)31 b Fp(L)d
Fo(\024)g Fu(2)p Fp(l)33 b Fu(then)f(\(5.6\))f(and)g(\(5.7\))g(giv)m(e)
h(us)g(\(5.4\))o(.)43 b(In)32 b(the)f(rest)h(of)f(the)g(pro)s(of)g(w)m
(e)386 2859 y(will)i(supp)s(ose)h(that)e Fp(L)c(>)g Fu(2)p
Fp(l)35 b Fu(and)d(therefore)h(\(2.5\))f(implies)j(that)386
3075 y(\(5.8\))567 b(cap\()p Fp(E)6 b(;)17 b(F)d Fu(;)j
Fr(R)1653 3034 y Fq(n)1699 3075 y Fu(\))28 b Fo(\024)g
Fp(C)7 b Fu(\()p Fp(n)p Fu(\))2081 2964 y Fk(\020)2140
3075 y Fu(log)2300 3008 y Fp(L)p 2293 3052 81 4 v 2293
3143 a Fu(2)p Fp(l)2383 2964 y Fk(\021)2443 2987 y Fn(1)p
Fj(\000)p Fq(n)2580 3075 y Fp(:)386 3274 y Fu(Let)45
b Fp(u)j Fo(2)h Fp(C)869 3238 y Fj(1)944 3274 y Fu(\()p
Fp(U)1048 3289 y Fn(3)1087 3274 y Fu(\))c(b)s(e)g(a)g(function)g(suc)m
(h)i(that)d Fp(u)p Fu(\()p Fp(x)p Fu(\))49 b Fo(\024)g
Fu(0)44 b(for)h Fp(x)k Fo(2)g Fp(E)i Fu(and)386 3390
y Fp(u)p Fu(\()p Fp(x)p Fu(\))27 b Fo(\025)i Fu(1)j(for)g
Fp(x)c Fo(2)g Fp(F)14 b Fu(.)43 b(F)-8 b(rom)32 b(\(2.2\))g(w)m(e)i(ha)
m(v)m(e)g(that)386 3606 y(\(5.9\))836 3471 y Fk(Z)891
3696 y Fn(4)p Fq(B)1004 3606 y Fo(j)p Fu(\()p Fo(r)p
Fp(u)p Fu(\)\()p Fp(f)11 b Fu(\()p Fp(x)p Fu(\)\))p Fo(j)1541
3565 y Fq(n)1586 3606 y Fp(J)1640 3621 y Fq(f)1685 3606
y Fu(\()p Fp(x)p Fu(\))28 b Fp(dx)g Fo(\024)g Fp(N)10
b Fu(\()p Fp(f)5 b(;)17 b(A)p Fu(\))2434 3471 y Fk(Z)2490
3696 y Fg(R)2538 3677 y Fh(n)2601 3606 y Fo(jr)p Fp(u)p
Fu(\()p Fp(y)t Fu(\))p Fo(j)2924 3565 y Fq(n)2997 3606
y Fp(dy)t(:)386 3844 y Fu(The)24 b(function)g Fp(u)s
Fo(\016)s Fp(f)32 b Fu(clearly)25 b(satis\014es)f(all)f(assumptions)i
(of)e(Lemma)h(2.2)f(for)3216 3818 y(~)3193 3844 y Fp(E)34
b Fu(=)386 3962 y Fp(f)445 3926 y Fj(\000)p Fn(1)539
3962 y Fu(\()p Fp(E)6 b Fu(\))32 b(and)937 3937 y(~)915
3962 y Fp(F)41 b Fu(=)28 b Fp(f)1182 3926 y Fj(\000)p
Fn(1)1276 3962 y Fu(\()p Fp(F)14 b Fu(\))32 b(and)h(th)m(us)g(w)m(e)h
(obtain)f(from)f(H\177)-49 b(older's)33 b(inequalit)m(y)386
4079 y(\(5.10\))544 4248 y Fp(C)7 b Fu(\()p Fp(p;)17
b(n)p Fu(\))p Fp(r)895 4206 y Fq(n)p Fj(\000)p Fq(p)1060
4248 y Fo(\024)1165 4112 y Fk(Z)1220 4337 y Fn(4)p Fq(B)1333
4248 y Fo(jr)p Fu(\()p Fp(u)k Fo(\016)h Fp(f)11 b Fu(\))p
Fo(j)1756 4206 y Fq(p)1060 4510 y Fo(\024)1165 4375 y
Fk(Z)1220 4600 y Fn(4)p Fq(B)1333 4510 y Fo(j)p Fu(\()p
Fo(r)p Fp(u)p Fu(\)\()p Fp(f)g Fu(\()p Fp(x)p Fu(\)\))p
Fo(j)1870 4469 y Fq(p)1908 4510 y Fo(j)p Fp(D)s(f)g Fu(\()p
Fp(x)p Fu(\))p Fo(j)2238 4469 y Fq(p)2304 4510 y Fp(dx)1060
4780 y Fo(\024)1165 4699 y Fk(\000)1210 4644 y(Z)1266
4870 y Fn(4)p Fq(B)1378 4780 y Fo(j)p Fu(\()p Fo(r)p
Fp(u)p Fu(\)\()p Fp(f)g Fu(\()p Fp(x)p Fu(\)\))p Fo(j)1915
4739 y Fq(n)1971 4712 y Fo(j)p Fp(D)s(f)g Fu(\()p Fp(x)p
Fu(\))p Fo(j)2301 4676 y Fq(n)p 1971 4757 377 4 v 2048
4848 a Fp(K)c Fu(\()p Fp(x)p Fu(\))2385 4780 y Fp(dx)2491
4699 y Fk(\001)2550 4691 y Fh(p)p 2546 4706 39 3 v 2546
4748 a(n)2599 4699 y Fk(\000)2645 4644 y(Z)2700 4870
y Fn(4)p Fq(B)2812 4780 y Fp(K)2956 4703 y Fh(p)p 2913
4718 119 3 v 2913 4759 a(n)p Fd(\000)p Fh(p)3045 4699
y Fk(\001)3101 4691 y Fh(n)p Fd(\000)p Fh(p)p 3101 4706
V 3141 4748 a(n)1060 5046 y Fo(\024)1165 4965 y Fk(\000)1210
4910 y(Z)1266 5136 y Fn(4)p Fq(B)1378 5046 y Fo(j)p Fu(\()p
Fo(r)p Fp(u)p Fu(\)\()p Fp(f)k Fu(\()p Fp(x)p Fu(\)\))p
Fo(j)1915 5005 y Fq(n)1961 5046 y Fp(J)2015 5061 y Fq(f)2060
5046 y Fu(\()p Fp(x)p Fu(\))28 b Fp(dx)2325 4965 y Fk(\001)2384
4957 y Fh(p)p 2381 4973 39 3 v 2381 5014 a(n)2433 4965
y Fk(\000)2479 4910 y(Z)2534 5136 y Fn(4)p Fq(B)2647
5046 y Fp(K)2790 4969 y Fh(p)p 2747 4985 119 3 v 2747
5026 a(n)p Fd(\000)p Fh(p)2880 4965 y Fk(\001)2935 4957
y Fh(n)p Fd(\000)p Fh(p)p 2935 4973 V 2975 5014 a(n)3068
5046 y Fp(:)386 5267 y Fu(Th)m(us)h(taking)g(the)f(in\014m)m(um)h(of)f
(all)g(admissible)i Fp(u)d Fu(w)m(e)i(obtain)f(from)g(\(5.8\))o(,)h
(\(5.9\))386 5383 y(and)k(\(5.10\))e(that)850 5599 y
Fp(C)7 b Fu(\()p Fp(p;)17 b(n)p Fu(\))27 b Fo(\024)1286
5518 y Fk(\000)1364 5532 y Fu(1)p 1342 5576 94 4 v 1342
5668 a Fp(r)1389 5639 y Fq(n)1462 5464 y Fk(Z)1517 5689
y Fn(4)p Fq(B)1630 5599 y Fp(K)1773 5522 y Fh(p)p 1730
5538 119 3 v 1730 5579 a(n)p Fd(\000)p Fh(p)1863 5518
y Fk(\001)1918 5510 y Fh(n)p Fd(\000)p Fh(p)p 1918 5526
V 1961 5567 a(p)2051 5599 y Fp(N)10 b Fu(\()p Fp(f)5
b(;)17 b(A)p Fu(\))2385 5489 y Fk(\020)2445 5599 y Fu(log)2604
5532 y Fp(L)p 2597 5576 81 4 v 2597 5668 a Fu(2)p Fp(l)2687
5489 y Fk(\021)2747 5511 y Fn(1)p Fj(\000)p Fq(n)2884
5599 y Fp(:)p eop end end
%%Page: 17 17
TeXDict begin HPSdict begin 17 16 bop 977 293 a Fl(REVERSE)32
b(INEQUALITIES)g(F)n(OR)h(THE)g(JA)n(COBIAN)514 b(17)386
492 y Fu(T)-8 b(ogether)33 b(with)g(\(5.6\))f(and)h(\(5.7\))f(this)h
(implies)h(\(5.4\).)875 b Fe(\003)486 674 y Fu(The)42
b(follo)m(wing)f(lemma)h(pro)m(vides)h(us)f(with)f(a)g(rev)m(erse)j
(inequalit)m(y)f(for)d(the)386 790 y(Jacobian)34 b Fp(J)849
805 y Fq(f)929 790 y Fu(of)g(a)g(mapping)h Fp(f)45 b
Fu(with)35 b(\014nite)g(distortion,)g(from)f(whic)m(h)i(w)m(e)f(can)386
906 y(deduce)f(the)f(in)m(tegrabilit)m(y)h(result)g(on)e(1)p
Fp(=J)1988 921 y Fq(f)2066 906 y Fu(b)m(y)h(the)g(results)h(in)f
(Section)g(3.)386 1088 y Fz(Lemma)i(5.3.)k Fs(L)-5 b(et)32
b Fp(f)42 b Fs(b)-5 b(e)31 b(a)g(mapping)f(of)h(\014nite)g(distortion)h
(in)f Fu(\012)d Fo(\032)g Fr(R)3026 1052 y Fq(n)3073
1088 y Fs(,)k Fp(n)c Fo(\025)g Fu(2)386 1204 y Fs(and)d(let)g
Fp(A)j Fo(\032)g Fu(\012)e Fs(b)-5 b(e)25 b(a)g(c)-5
b(omp)g(act)24 b(set.)42 b(Supp)-5 b(ose)24 b(that)i
Fp(f)36 b Fs(satis\014es)25 b(al)5 b(l)25 b(assumptions)386
1320 y(of)35 b(L)-5 b(emma)35 b(5.2)g(and)g(that)h(the)g
(distributional)f(Jac)-5 b(obian)35 b(of)g Fp(f)46 b
Fs(is)36 b(e)-5 b(qual)35 b(to)h(the)386 1437 y(p)-5
b(ointwise)41 b(Jac)-5 b(obian)41 b(of)g Fp(f)11 b Fs(.)66
b(L)-5 b(et)42 b Fp(n)27 b Fo(\000)h Fu(1)41 b Fp(<)f(p)h(<)f(n)i
Fs(and)g(set)g Fp(t)e Fu(=)h Fp(p=)p Fu(\()p Fp(n)27
b Fo(\000)h Fp(p)p Fu(\))p Fs(.)386 1553 y(Assume)35
b(that)g(the)g(distortion)f Fp(K)7 b Fu(\()p Fp(x)p Fu(\))36
b Fs(satis\014es)e Fp(K)2268 1517 y Fq(t)2325 1553 y
Fo(2)28 b Fp(L)2485 1517 y Fn(1)2485 1579 y(lo)r(c)2578
1553 y Fu(\(\012\))p Fs(.)45 b(Then)670 1776 y Fo(\000)654
1641 y Fk(Z)709 1866 y Fq(B)787 1776 y Fp(J)841 1791
y Fq(f)914 1776 y Fo(\024)p Fp(C)7 b Fu(\()p Fp(n;)17
b(N)10 b Fu(\()p Fp(f)5 b(;)17 b(A)p Fu(\)\))g(exp)1746
1696 y Fk(\000)1792 1776 y Fp(C)7 b Fu(\()p Fp(p;)17
b(n;)g(N)10 b Fu(\()p Fp(f)5 b(;)17 b(A)p Fu(\)\)\()p
Fo(\000)2496 1641 y Fk(Z)2551 1866 y Fn(2)p Fq(B)2664
1776 y Fp(K)2754 1735 y Fq(t)2784 1776 y Fu(\))2911 1700
y Fi(1)p 2832 1712 189 3 v 2832 1753 a Fh(t)p Fi(\()p
Fh(n)p Fd(\000)p Fi(1\))3034 1696 y Fk(\001)3080 1776
y Fo(\001)1013 2039 y(\001)22 b Fu(\()p Fo(\000)1085
1904 y Fk(Z)1140 2129 y Fq(B)1218 2039 y Fp(K)1308 1998
y Fq(t)1338 2039 y Fu(\))1386 1971 y Fi(1)p 1386 1983
31 3 v 1389 2024 a Fh(t)1430 2039 y Fu(\()p Fo(\000)1452
1904 y Fk(Z)1507 2129 y Fq(B)1585 2039 y Fp(J)1704 1944
y Fh(nt)p Fd(\000)p Fh(t)p 1659 1957 226 3 v 1659 1998
a(nt)p Fd(\000)p Fh(n)p Fi(+1)1639 2067 y Fq(f)1898 2039
y Fu(\))1946 1968 y Fh(nt)p Fd(\000)p Fh(n)p Fi(+1)p
1946 1981 V 1992 2022 a Fh(nt)p Fd(\000)p Fh(t)386 2260
y Fs(for)35 b(every)f(b)-5 b(al)5 b(l)35 b Fp(B)40 b
Fs(such)34 b(that)i Fu(2)p Fp(B)c Fo(\032)c Fp(A)p Fs(.)386
2442 y(Pr)-5 b(o)g(of.)41 b Fu(Fix)33 b(a)f(ball)g Fp(B)h
Fu(=)28 b Fp(B)5 b Fu(\()p Fp(x)1512 2457 y Fn(0)1552
2442 y Fp(;)17 b(s)p Fu(\))32 b(suc)m(h)i(that)e Fp(B)2217
2457 y Fn(2)p Fq(s)2317 2442 y Fu(:=)27 b Fp(B)5 b Fu(\()p
Fp(x)2619 2457 y Fn(0)2659 2442 y Fp(;)17 b Fu(2)p Fp(s)p
Fu(\))27 b Fo(\032)h Fp(A)p Fu(.)44 b(Under)386 2558
y(our)26 b(assumptions)j(on)e(the)g(mapping)g Fp(f)11
b Fu(,)28 b(w)m(e)g(ha)m(v)m(e)g(the)f(follo)m(wing)g(in)m(tegral)g
(form)386 2674 y(of)32 b(the)h(isop)s(erimetric)h(inequalit)m(y)-8
b(,)35 b(namely)-8 b(,)386 2922 y(\(5.11\))1032 2787
y Fk(Z)1087 3012 y Fq(B)1140 3020 y Fh(r)1196 2922 y
Fp(J)1250 2937 y Fq(f)1312 2922 y Fp(dx)28 b Fo(\024)g
Fp(C)7 b Fu(\()p Fp(n)p Fu(\))1779 2782 y Fk(\022)1852
2787 y(Z)1907 3012 y Fq(@)t(B)2001 3020 y Fh(r)2057 2922
y Fo(j)p Fp(D)s(f)k Fo(j)2256 2881 y Fq(n)p Fj(\000)p
Fn(1)2408 2922 y Fp(dx)2514 2782 y Fk(\023)2637 2777
y Fh(n)p 2598 2789 117 3 v 2598 2830 a(n)p Fd(\000)p
Fi(1)386 3152 y Fu(for)35 b(almost)i(ev)m(ery)g(radius)g
Fp(r)f(<)e(s)p Fu(,)i(where)i Fp(B)2073 3167 y Fq(r)2147
3152 y Fu(is)e(the)h(ball)f(with)g(radius)h Fp(r)i Fu(and)386
3268 y(the)28 b(same)h(cen)m(ter)g(as)f Fp(B)1263 3283
y Fq(s)1300 3268 y Fu(,)h(see)g([22].)42 b(W)-8 b(e)28
b(raise)g(b)s(oth)g(sides)h(of)f(inequalit)m(y)h(\(5.11\))386
3384 y(to)36 b(the)h(p)s(o)m(w)m(er)g(\()p Fp(n)25 b
Fo(\000)g Fu(1\))p Fp(=n)p Fu(,)37 b(and)f(in)m(tegrate)h(with)g(resp)s
(ect)g(to)f Fp(r)j Fu(o)m(v)m(er)e(\(0)p Fp(;)17 b(s)p
Fu(\))36 b(to)386 3501 y(obtain)c(that)386 3617 y(\(5.12\))428
3791 y Fp(s)p 426 3835 49 4 v 426 3926 a Fu(2)502 3688
y Fk( )581 3723 y(Z)636 3948 y Fq(B)689 3962 y Fh(s=)p
Fi(2)805 3858 y Fp(J)859 3873 y Fq(f)921 3858 y Fp(dx)1027
3688 y Fk(!)1116 3682 y Fh(n)p Fd(\000)p Fi(1)p 1116
3695 117 3 v 1156 3736 a Fh(n)1275 3858 y Fo(\024)1380
3723 y Fk(Z)1480 3749 y Fq(s)1435 3948 y Fn(0)1533 3718
y Fk(\022)1606 3723 y(Z)1662 3948 y Fq(B)1715 3956 y
Fh(r)1770 3858 y Fp(J)1824 3873 y Fq(f)1886 3858 y Fp(dx)1992
3718 y Fk(\023)2076 3712 y Fh(n)p Fd(\000)p Fi(1)p 2076
3725 V 2115 3766 a Fh(n)2240 3858 y Fp(ds)27 b Fo(\024)h
Fp(C)7 b Fu(\()p Fp(n)p Fu(\))2697 3723 y Fk(Z)2752 3948
y Fq(B)2805 3956 y Fh(s)2859 3858 y Fo(j)p Fp(D)s(f)k
Fo(j)3058 3817 y Fq(n)p Fj(\000)p Fn(1)3211 3858 y Fp(dx:)386
4119 y Fu(W)-8 b(e)35 b(estimate)i(the)e(righ)m(t-hand)g(side)i(of)d
(\(5.12\))h(b)m(y)h(the)f(distortion)h(inequalit)m(y)386
4236 y(and)d(H\177)-49 b(older's)33 b(inequalit)m(y)i(and)d(arriv)m(e)i
(at)386 4352 y(\(5.13\))573 4385 y Fk(Z)628 4610 y Fq(B)681
4618 y Fh(s)735 4521 y Fo(j)p Fp(D)s(f)11 b Fo(j)934
4479 y Fq(n)p Fj(\000)p Fn(1)1087 4521 y Fp(dx)28 b Fo(\024)1326
4385 y Fk(Z)1381 4610 y Fq(B)1434 4618 y Fh(s)1489 4521
y Fp(K)7 b Fu(\()p Fp(x)p Fu(\))1720 4451 y Fh(n)p Fd(\000)p
Fi(1)p 1720 4464 V 1759 4505 a Fh(n)1851 4521 y Fp(J)1924
4432 y Fh(n)p Fd(\000)p Fi(1)p 1924 4445 V 1963 4486
a Fh(n)1905 4548 y Fq(f)2071 4521 y Fp(dx)1221 4834 y
Fo(\024)1326 4694 y Fk(\022)1399 4699 y(Z)1455 4924 y
Fq(B)1508 4932 y Fh(s)1562 4834 y Fp(K)g Fu(\()p Fp(x)p
Fu(\))1783 4793 y Fq(t)1830 4834 y Fp(dx)1936 4694 y
Fk(\023)2019 4688 y Fh(n)p Fd(\000)p Fi(1)p 2019 4701
V 2046 4742 a Fh(nt)2166 4694 y Fk(\022)2240 4699 y(Z)2295
4924 y Fq(B)2348 4932 y Fh(s)2402 4834 y Fp(J)2521 4739
y Fh(nt)p Fd(\000)p Fh(t)p 2476 4752 226 3 v 2476 4793
a(nt)p Fd(\000)p Fh(n)p Fi(+1)2456 4862 y Fq(f)2732 4834
y Fp(dx)2838 4694 y Fk(\023)2921 4688 y Fh(nt)p Fd(\000)p
Fh(n)p Fi(+1)p 2921 4701 V 3003 4742 a Fh(nt)3177 4834
y Fp(:)386 5069 y Fu(Th)m(us,)34 b(w)m(e)g(obtain)e(b)m(y)i(com)m
(bining)g(\(5.12\))d(and)i(\(5.13\))f(that)918 5292 y
Fo(\000)902 5156 y Fk(Z)957 5382 y Fq(B)1010 5396 y Fh(s=)p
Fi(2)1127 5292 y Fp(J)1181 5307 y Fq(f)1243 5292 y Fp(dx)c
Fo(\024)g Fp(C)7 b Fu(\()p Fp(n)p Fu(\)\()p Fo(\000)1715
5156 y Fk(Z)1770 5382 y Fq(B)1848 5292 y Fp(K)1938 5251
y Fq(t)1968 5292 y Fu(\))2016 5223 y Fi(1)p 2016 5235
31 3 v 2019 5277 a Fh(t)2060 5292 y Fu(\()p Fo(\000)2082
5156 y Fk(Z)2137 5382 y Fq(B)2216 5292 y Fp(J)2334 5196
y Fh(nt)p Fd(\000)p Fh(t)p 2289 5209 226 3 v 2289 5250
a(nt)p Fd(\000)p Fh(n)p Fi(+1)2270 5319 y Fq(f)2528 5292
y Fu(\))2576 5220 y Fh(nt)p Fd(\000)p Fh(n)p Fi(+1)p
2576 5233 V 2622 5274 a Fh(nt)p Fd(\000)p Fh(t)2816 5292
y Fp(:)386 5540 y Fu(The)33 b(lemma)h(follo)m(ws)f(from)f(the)h(ab)s(o)
m(v)m(e)h(inequalit)m(y)g(and)f(Lemma)g(5.2.)3297 5656
y Fe(\003)p eop end end
%%Page: 18 18
TeXDict begin HPSdict begin 18 17 bop 386 293 a Fl(18)322
b(ST)-6 b(ANISLA)d(V)23 b(HENCL,)j(PEKKA)f(K)n(OSKELA)f(AND)h(XIA)n(O)f
(ZHONG)386 499 y Fs(Pr)-5 b(o)g(of)35 b(of)f(The)-5 b(or)g(em)34
b(1.2.)41 b Fu(Under)52 b(the)h(assumptions)g Fp(f)72
b Fo(2)60 b Fp(W)2795 452 y Fn(1)p Fq(;n)2781 527 y Fn(lo)r(c)2949
499 y Fu(and)52 b Fp(K)67 b Fo(2)386 619 y Fp(L)452 578
y Fq(n)p Fj(\000)p Fn(1+)p Fq(")452 647 y Fn(lo)r(c)701
619 y Fu(it)25 b(is)g(kno)m(wn)h(that)e(the)h(mapping)g
Fp(f)35 b Fu(of)24 b(\014nite)h(distortion)g(is)g(con)m(tin)m(uous,)386
735 y(discrete)30 b(and)f(op)s(en)g(and)g(satis\014es)i(the)e
(condition)h Fp(N)39 b Fu(and)29 b(that)g(distributional)386
851 y(Jacobian)41 b(of)f Fp(f)52 b Fu(is)41 b(equal)h(to)e(the)h(p)s
(oin)m(t)m(wise)i(Jacobian)e(of)f Fp(f)51 b Fu(\(see)42
b([10],)h([18],)386 968 y([28],)32 b([24],)h([25)o(])g(and)g([20)o
(]\).)486 1084 y(Let)40 b Fp(p)p Fu(,)j Fp(n)28 b Fo(\000)g
Fu(1)42 b Fp(<)f(p)g(<)h(n)p Fu(,)h(b)s(e)e(the)g(n)m(um)m(b)s(er)h
(suc)m(h)g(that)f Fp(t)g Fu(=)h Fp(p=)p Fu(\()p Fp(n)27
b Fo(\000)h Fp(p)p Fu(\))42 b(=)386 1200 y Fp(n)22 b
Fo(\000)h Fu(1)f(+)g Fp(")p Fu(.)43 b(W)-8 b(e)33 b(ma)m(y)g(use)h
(Lemma)f(5.3)f(to)g(obtain)588 1425 y Fo(\000)572 1290
y Fk(Z)627 1515 y Fq(B)705 1425 y Fp(J)759 1440 y Fq(f)832
1425 y Fo(\024)d Fu(exp)1087 1345 y Fk(\000)1132 1425
y Fp(C)7 b Fu(\()p Fp(";)17 b(n;)g(N)10 b Fu(\()p Fp(f)5
b(;)17 b(A)p Fu(\)\)\()p Fo(\000)1833 1290 y Fk(Z)1888
1515 y Fn(2)p Fq(B)2001 1425 y Fp(K)2091 1384 y Fq(t)2121
1425 y Fu(\))2248 1349 y Fi(1)p 2169 1361 189 3 v 2169
1402 a Fh(t)p Fi(\()p Fh(n)p Fd(\000)p Fi(1\))2371 1345
y Fk(\001)2417 1425 y Fu(\()p Fo(\000)2439 1290 y Fk(Z)2494
1515 y Fq(B)2572 1425 y Fp(J)2691 1330 y Fh(nt)p Fd(\000)p
Fh(t)p 2645 1343 226 3 v 2645 1384 a(nt)p Fd(\000)p Fh(n)p
Fi(+1)2626 1453 y Fq(f)2885 1425 y Fu(\))2933 1354 y
Fh(nt)p Fd(\000)p Fh(n)p Fi(+1)p 2933 1367 V 2979 1408
a Fh(nt)p Fd(\000)p Fh(t)386 1655 y Fu(for)36 b(ev)m(ery)i(ball)e
Fp(B)41 b Fu(suc)m(h)d(that)e(2)p Fp(B)j Fo(\032)34 b
Fp(A)p Fu(.)55 b(No)m(w)36 b(w)m(e)i(ma)m(y)f(apply)g(Theorem)g(3.7)386
1771 y(to)32 b(conclude)i(the)f(pro)s(of)f(of)g(Theorem)i(1.2.)1293
b Fe(\003)486 1963 y Fu(The)32 b(assumptions)h(of)e(Lemma)h(5.3)f(are)h
(satis\014ed)g(also)g(for)f Fp(f)42 b Fu(in)31 b(a)h(Sob)s(olev-)386
2079 y(Orlicz)h(space)g(whic)m(h)g(is)f(sligh)m(tly)i(larger)e(than)g
Fp(W)2259 2043 y Fn(1)p Fq(;n)2392 2079 y Fu(\(see)h([26])f(and)g
(references)386 2195 y(giv)m(en)h(there)g(for)f(details\))h(and)g
(therefore)g(it)f(is)h(p)s(ossible)h(to)e(obtain)g(the)h(result)386
2312 y(of)f(Theorem)i(1.2)e(also)h(under)g(this)g(w)m(eak)m(er)i
(condition.)386 2504 y Fs(Pr)-5 b(o)g(of)35 b(of)f(The)-5
b(or)g(em)34 b(1.1.)41 b Fu(Supp)s(ose)36 b Fp(f)45 b
Fu(is)35 b(a)g(mapping)g(with)g(exp)s(onen)m(tially)i(in-)386
2620 y(tegrable)g(distortion.)56 b(Again)37 b(the)g(kno)m(wn)h(results)
g(\(see)f([24],)h([25],)f([16],)h([17],)386 2736 y([20]\))27
b(tell)h(us)g(that)f(the)g(assumptions)j(of)c(Lemma)i(5.3)f(on)h
Fp(f)38 b Fu(are)27 b(satis\014ed.)43 b(Pic)m(k)386 2852
y Fp(p)32 b Fu(suc)m(h)i(that)f Fp(n)22 b Fo(\000)h Fu(1)k
Fp(<)h(p)f(<)h(n)33 b Fu(and)1302 3074 y(~)-57 b Fp(p)28
b Fu(:=)1511 3006 y Fp(nt)23 b Fo(\000)g Fp(n)f Fu(+)g(1)p
1511 3051 443 4 v 1607 3142 a Fp(nt)h Fo(\000)f Fp(t)1991
3074 y Fu(=)2154 3006 y Fp(n)g Fu(+)g(1)p 2105 3051 325
4 v 2105 3142 a Fp(n)g Fu(+)g(1)p Fp(=)p Fu(2)2439 3074
y Fp(;)386 3312 y Fu(where)30 b Fp(t)e Fu(=)f Fp(p=)p
Fu(\()p Fp(n)15 b Fo(\000)g Fp(p)p Fu(\).)42 b(W)-8 b(e)29
b(claim)h(that)e(for)h(ev)m(ery)h Fp(C)2384 3327 y Fn(1)2451
3312 y Fp(>)e Fu(0)h(and)g(for)f(ev)m(ery)j(ball)409
3411 y(~)386 3436 y Fp(B)i Fo(\032\032)28 b Fu(\012)33
b(w)m(e)h(ha)m(v)m(e)386 3646 y(\(5.14\))315 b(exp)1100
3565 y Fk(\000)1146 3646 y Fp(C)1216 3661 y Fn(1)1255
3646 y Fu(\()p Fo(\000)1277 3510 y Fk(Z)1349 3719 y Fn(~)1332
3736 y Fq(B)1410 3646 y Fp(K)1500 3605 y Fq(t)1530 3646
y Fu(\))1657 3570 y Fi(1)p 1578 3582 189 3 v 1578 3623
a Fh(t)p Fi(\()p Fh(n)p Fd(\000)p Fi(1\))1780 3565 y
Fk(\001)1854 3646 y Fo(\024)28 b(\000)1943 3510 y Fk(Z)2015
3719 y Fn(~)1998 3736 y Fq(B)2059 3646 y Fu(\()p Fp(C)7
b Fu(\()p Fp(n)p Fu(\))23 b(+)f(exp)q(\()p Fp(C)2686
3661 y Fn(1)2725 3646 y Fp(K)2868 3575 y Fi(1)p 2825
3587 117 3 v 2825 3628 a Fh(n)p Fd(\000)p Fi(1)2956 3646
y Fu(\)\))p Fp(:)386 3881 y Fu(Indeed,)42 b(there)e(are)f
Fp(C)1233 3896 y Fn(3)1312 3881 y Fu(=)f Fp(C)7 b Fu(\()p
Fp(n)p Fu(\))39 b Fo(\025)h Fu(0)f(and)g Fp(C)2147 3896
y Fn(4)2225 3881 y Fu(=)g Fp(C)7 b Fu(\()p Fp(n)p Fu(\))39
b Fo(\025)h Fu(0)f(suc)m(h)h(that)f(the)386 3997 y(function)1073
4201 y(\010\()p Fp(y)t Fu(\))27 b(=)1401 4031 y Fk(\()1482
4129 y Fp(C)1552 4144 y Fn(4)1591 4129 y Fp(y)461 b Fu(for)32
b Fp(y)f Fo(2)d Fu([0)p Fp(;)17 b(C)2612 4144 y Fn(3)2651
4129 y Fu(])1482 4279 y(exp)q(\()p Fp(y)1809 4203 y Fi(1)p
1730 4215 189 3 v 1730 4256 a Fh(t)p Fi(\()p Fh(n)p Fd(\000)p
Fi(1\))1932 4279 y Fu(\))130 b(for)32 b Fp(y)f(>)d(C)2502
4294 y Fn(3)386 4445 y Fu(is)33 b(con)m(tin)m(uous)h(and)f(con)m(v)m
(ex)i(and)d(clearly)386 4670 y(\(5.15\))303 b(exp)1088
4589 y Fk(\000)1134 4670 y Fp(C)1204 4685 y Fn(1)1243
4670 y Fu(\()p Fo(\000)1265 4534 y Fk(Z)1337 4743 y Fn(~)1320
4760 y Fq(B)1398 4670 y Fp(K)1488 4629 y Fq(t)1518 4670
y Fu(\))1645 4593 y Fi(1)p 1566 4605 V 1566 4647 a Fh(t)p
Fi(\()p Fh(n)p Fd(\000)p Fi(1\))1769 4589 y Fk(\001)1842
4670 y Fo(\024)28 b Fu(\010\()p Fp(C)2125 4685 y Fn(3)2165
4670 y Fu(\))22 b(+)g(\010)2393 4589 y Fk(\000)2439 4670
y Fp(C)2516 4619 y Fq(t)p Fn(\()p Fq(n)p Fj(\000)p Fn(1\))2509
4694 y(1)2755 4670 y Fo(\000)2745 4534 y Fk(Z)2816 4743
y Fn(~)2800 4760 y Fq(B)2878 4670 y Fp(K)2968 4629 y
Fq(t)2998 4589 y Fk(\001)3044 4670 y Fp(:)386 4899 y
Fu(F)-8 b(rom)32 b(Jensen's)j(inequalit)m(y)f(w)m(e)g(no)m(w)f(obtain)
386 5124 y(\(5.16\))426 b(\010)1132 5044 y Fk(\000)1178
5124 y Fp(C)1255 5073 y Fq(t)p Fn(\()p Fq(n)p Fj(\000)p
Fn(1\))1248 5149 y(1)1495 5124 y Fo(\000)1485 4989 y
Fk(Z)1556 5198 y Fn(~)1540 5214 y Fq(B)1617 5124 y Fp(K)1707
5083 y Fq(t)1737 5044 y Fk(\001)1811 5124 y Fo(\024)28
b(\000)1900 4989 y Fk(Z)1972 5198 y Fn(~)1955 5214 y
Fq(B)2033 5124 y Fu(\010\()p Fp(C)2218 5073 y Fq(t)p
Fn(\()p Fq(n)p Fj(\000)p Fn(1\))2211 5149 y(1)2436 5124
y Fp(K)2526 5083 y Fq(t)2555 5124 y Fu(\))g Fo(\024)1256
5441 y(\024)g(\000)1345 5306 y Fk(Z)1417 5515 y Fn(~)1400
5531 y Fq(B)1461 5441 y Fu(\(\010\()p Fp(C)1677 5456
y Fn(3)1717 5441 y Fu(\))22 b(+)g(exp)q(\()p Fp(C)2132
5456 y Fn(1)2171 5441 y Fp(K)2314 5371 y Fi(1)p 2271
5383 117 3 v 2271 5424 a Fh(n)p Fd(\000)p Fi(1)2402 5441
y Fu(\)\))p Fp(:)386 5656 y Fu(F)-8 b(rom)32 b(\(5.15\))g(and)g
(\(5.16\))g(w)m(e)i(deduce)g(\(5.14\))o(.)p eop end end
%%Page: 19 19
TeXDict begin HPSdict begin 19 18 bop 977 293 a Fl(REVERSE)32
b(INEQUALITIES)g(F)n(OR)h(THE)g(JA)n(COBIAN)514 b(19)486
497 y Fu(Let)32 b Fp(\015)h(>)28 b Fu(0)k(and)h(\014nd)1315
479 y(~)1314 497 y Fp(t)28 b(>)f Fu(0)33 b(suc)m(h)h(that)e
Fp(\015)h Fu(=)2190 458 y Fn(2)p 2190 474 36 4 v 2190
532 a(3)2252 453 y(~)-41 b Fq(p)o Fj(\000)p Fn(1)p 2246
474 126 4 v 2284 535 a(~)g Fq(p)2314 523 y Fn(~)2313
535 y Fq(t)2414 497 y Fu(\(note)32 b(that)41 b(~)-57
b Fp(p)27 b Fu(=)h Fp(C)7 b Fu(\()p Fp(n)p Fu(\))28 b
Fp(>)386 631 y Fu(1\).)43 b(F)-8 b(rom)31 b(Lemma)i(5.3,)f(elemen)m
(tary)i(inequalit)m(y)g(and)e(\(5.14\))f(w)m(e)i(obtain)f(that)386
1255 y(\(5.17\))780 846 y Fo(\000)764 710 y Fk(Z)819
936 y Fq(B)898 846 y Fp(J)952 861 y Fq(f)1025 846 y Fo(\024)p
Fp(C)7 b Fu(\()p Fp(n;)17 b(N)10 b Fu(\()p Fp(f)5 b(;)17
b(A)p Fu(\)\))g(exp)1857 765 y Fk(\000)1903 846 y Fp(C)7
b Fu(\()p Fp(n;)17 b(N)10 b Fu(\()p Fp(f)5 b(;)17 b(A)p
Fu(\)\)\()p Fo(\000)2514 710 y Fk(Z)2569 936 y Fn(2)p
Fq(B)2682 846 y Fp(K)2772 805 y Fq(t)2802 846 y Fu(\))2929
770 y Fi(1)p 2850 782 189 3 v 2850 823 a Fh(t)p Fi(\()p
Fh(n)p Fd(\000)p Fi(1\))3053 765 y Fk(\001)3098 846 y
Fo(\001)1124 1109 y(\001)22 b Fu(\()p Fo(\000)1196 973
y Fk(Z)1251 1199 y Fq(B)1329 1109 y Fp(K)1419 1068 y
Fq(t)1449 1109 y Fu(\))1497 1041 y Fi(1)p 1497 1053 31
3 v 1500 1094 a Fh(t)1541 1109 y Fu(\()p Fo(\000)1563
973 y Fk(Z)1618 1199 y Fq(B)1696 1109 y Fp(J)1770 1012
y Fi(1)p 1769 1024 33 3 v 1775 1065 a(~)-36 b Fh(p)1750
1137 y Fq(f)1816 1109 y Fu(\))1860 1068 y Fn(~)-41 b
Fq(p)1025 1381 y Fo(\024)1102 1271 y Fk(\020)1162 1381
y Fu(exp)1311 1301 y Fk(\000)1366 1314 y Fp(C)7 b Fu(\()p
Fp(n;)17 b(N)10 b Fu(\()p Fp(f)5 b(;)17 b(A)p Fu(\)\))p
1366 1358 590 4 v 1627 1455 a(~)-57 b Fp(p)1669 1437
y Fu(~)1668 1455 y Fp(t)1965 1381 y Fu(\()p Fo(\000)1987
1246 y Fk(Z)2042 1471 y Fn(2)p Fq(B)2156 1381 y Fp(K)2246
1340 y Fq(t)2276 1381 y Fu(\))2402 1305 y Fi(1)p 2323
1317 189 3 v 2323 1358 a Fh(t)p Fi(\()p Fh(n)p Fd(\000)p
Fi(1\))2526 1301 y Fk(\001)2572 1271 y(\021)2637 1293
y Fn(~)-41 b Fq(p)2668 1281 y Fn(~)2667 1293 y Fq(t)2696
1381 y Fu(\()p Fo(\000)2718 1246 y Fk(Z)2773 1471 y Fq(B)2851
1381 y Fp(J)2925 1284 y Fi(1)p 2925 1296 33 3 v 2931
1337 a(~)-36 b Fh(p)2905 1409 y Fq(f)2971 1381 y Fu(\))3015
1340 y Fn(~)-41 b Fq(p)1025 1657 y Fo(\024)1102 1546
y Fk(\020)1162 1657 y Fo(\000)1146 1521 y Fk(Z)1201 1747
y Fn(2)p Fq(B)1297 1657 y Fu(\()p Fp(C)7 b Fu(\()p Fp(n)p
Fu(\))22 b(+)g(exp)r(\()1864 1589 y Fp(C)7 b Fu(\()p
Fp(n;)17 b(N)10 b Fu(\()p Fp(f)5 b(;)17 b(A)p Fu(\)\))p
1864 1634 590 4 v 2124 1730 a(~)-57 b Fp(p)2166 1712
y Fu(~)2165 1730 y Fp(t)2463 1657 y(K)2606 1586 y Fi(1)p
2563 1598 117 3 v 2563 1639 a Fh(n)p Fd(\000)p Fi(1)2694
1657 y Fu(\)\))2770 1546 y Fk(\021)2835 1568 y Fn(~)-41
b Fq(p)2865 1556 y Fn(~)2865 1568 y Fq(t)2894 1657 y
Fu(\()p Fo(\000)2916 1521 y Fk(Z)2971 1747 y Fq(B)3049
1657 y Fp(J)3123 1560 y Fi(1)p 3122 1572 33 3 v 3128
1613 a(~)-36 b Fh(p)3103 1684 y Fq(f)3168 1657 y Fu(\))3212
1616 y Fn(~)-41 b Fq(p)386 1901 y Fu(for)23 b(ev)m(ery)j(ball)e
Fp(B)29 b Fu(suc)m(h)d(that)d(2)p Fp(B)33 b Fo(\032)28
b Fp(A)p Fu(.)41 b(F)-8 b(or)23 b Fp(n)28 b Fu(=)g(2)23
b(w)m(e)i(set)g Fp(\014)33 b Fu(=)2784 1854 y Fq(C)5
b Fn(\()p Fq(n;N)i Fn(\()p Fq(f)s(;A)p Fn(\)\))p 2784
1879 401 4 v 2959 1939 a(~)-41 b Fq(p)2990 1927 y Fn(~)2989
1939 y Fq(t)3218 1901 y Fu(and)386 2061 y(from)37 b(\(5.17\))f(and)h
(Theorem)h(3.5)f(for)f Fp(w)i Fu(=)d Fp(J)2114 2010 y
Fn(1)p Fq(=)6 b Fn(~)-41 b Fq(p)2105 2089 y(f)2224 2061
y Fu(,)39 b(and)e Fp(")e Fu(=)2692 2017 y Fn(~)-41 b
Fq(p)o Fj(\000)p Fn(1)p 2686 2038 126 4 v 2700 2099 a(3)6
b(~)-41 b Fq(p)2772 2087 y Fn(~)2771 2099 y Fq(t)2858
2061 y Fu(w)m(e)38 b(conclude)386 2195 y(\(1.4\))o(.)486
2313 y(F)-8 b(urther)39 b(let)i Fp(n)f Fo(\025)h Fu(3,)g
Fp(\014)46 b(>)40 b Fu(0)f(and)h Fp(\015)45 b Fo(\025)c
Fu(1)f(so)g(that)2480 2294 y(~)2478 2313 y Fp(t)h Fo(\024)f
Fu(1.)65 b(As)41 b(b)s(efore)f(w)m(e)386 2429 y(obtain)32
b(from)h(\(5.17\))o(,)g(Theorem)h(3.5)e(and)g(Remark)i(3.6)e(that)386
2545 y(\(5.18\))513 2578 y Fk(Z)568 2804 y Fq(B)645 2714
y Fu(log)781 2636 y Fi(2)p 781 2648 31 3 v 781 2689 a(3)837
2632 y(~)-35 b Fh(p)p Fd(\000)p Fi(1)p 832 2648 111 3
v 865 2694 a(~)f Fh(p)893 2685 y Fi(~)891 2694 y Fh(t)956
2714 y Fu(\()p Fp(e)23 b Fu(+)1270 2647 y(1)p 1169 2691
251 4 v 1169 2832 a Fp(J)1243 2735 y Fi(1)p 1243 2747
33 3 v 1249 2788 a(~)-36 b Fh(p)1223 2860 y Fq(f)1289
2832 y Fu(\()p Fp(x)p Fu(\))1430 2714 y(\))p Fp(dx)28
b Fo(\024)656 3053 y(\024)h Fp(C)839 2972 y Fk(\000)892
3053 y Fu(~)-57 b Fp(p;)17 b(n;)g Fo(j)p Fp(B)5 b Fo(j)p
Fp(;)1258 2917 y Fk(Z)1312 3142 y Fq(B)1390 3053 y Fp(J)1463
2955 y Fi(1)p 1463 2967 V 1469 3009 a(~)-36 b Fh(p)1444
3080 y Fq(f)1509 2972 y Fk(\001)1564 2967 y Fi(1)p 1564
2979 31 3 v 1569 3016 a(~)1567 3025 y Fh(t)1626 2917
y Fk(Z)1681 3142 y Fn(2)p Fq(B)1777 2972 y Fk(\000)1823
3053 y Fp(C)7 b Fu(\()p Fp(n)p Fu(\))22 b(+)g(exp)q(\()2351
2985 y Fp(C)7 b Fu(\()p Fp(n;)17 b(N)10 b Fu(\()p Fp(f)5
b(;)17 b(A)p Fu(\)\))p 2351 3030 590 4 v 2611 3126 a(~)-57
b Fp(p)2654 3108 y Fu(~)2652 3126 y Fp(t)2950 3053 y(K)3093
2982 y Fi(1)p 3050 2994 117 3 v 3050 3035 a Fh(n)p Fd(\000)p
Fi(1)3181 3053 y Fu(\))3219 2972 y Fk(\001)386 3269 y
Fu(for)32 b(ev)m(ery)i(ball)f(suc)m(h)h(that)e(2)p Fp(B)h
Fo(\032)28 b Fp(A)p Fu(.)44 b(Thanks)34 b(to)e(the)h(elemen)m(tary)i
(inequalit)m(y)682 3343 y Fk(Z)738 3569 y Fn(2)p Fq(B)850
3479 y Fu(exp)999 3398 y Fk(\000)1045 3479 y Fp(C)1115
3494 y Fn(1)1154 3479 y Fp(\015)5 b(K)1353 3408 y Fi(1)p
1310 3420 V 1310 3461 a Fh(n)p Fd(\000)p Fi(1)1441 3398
y Fk(\001)1514 3479 y Fo(\024)1619 3343 y Fk(Z)1675 3569
y Fj(f)p Fq(C)1760 3578 y Fi(1)1795 3569 y Fq(\015)t(K)1953
3512 y Fi(1)p 1909 3520 V 1909 3554 a Fh(n)p Fd(\000)p
Fi(1)2040 3569 y Fq(<\014)s(K)g Fj(g)2258 3479 y Fu(+)2351
3343 y Fk(Z)2406 3569 y Fj(f)p Fq(C)2491 3578 y Fi(1)2526
3569 y Fq(\015)t(K)2684 3512 y Fi(1)p 2641 3520 V 2641
3554 a Fh(n)p Fd(\000)p Fi(1)2772 3569 y Fj(\025)p Fq(\014)s(K)g
Fj(g)3001 3479 y Fo(\024)947 3781 y(\024)1052 3645 y
Fk(Z)1107 3871 y Fn(2)p Fq(B)1203 3670 y Fk(\020)1263
3781 y Fu(exp)q(\()p Fp(\014)h(K)h Fu(\))22 b(+)g(exp)1908
3700 y Fk(\000)1953 3781 y Fp(C)7 b Fu(\()p Fp(C)2138
3796 y Fn(1)2177 3781 y Fp(;)17 b(\014)6 b(;)17 b(n)p
Fu(\))p Fp(\015)2478 3737 y Fn(1+)2621 3710 y Fi(1)p
2578 3722 V 2578 3763 a Fh(n)p Fd(\000)p Fi(2)2709 3700
y Fk(\001)2754 3670 y(\021)386 4002 y Fu(w)m(e)34 b(obtain)e(from)g
(\(5.18\),)40 b(~)-57 b Fp(p)28 b Fu(=)f Fp(C)7 b Fu(\()p
Fp(n)p Fu(\))33 b(and)1987 3984 y(~)1986 4002 y Fp(t)28
b Fu(=)2162 3955 y Fq(C)5 b Fn(\()p Fq(n)p Fn(\))p 2162
3979 153 4 v 2218 4037 a Fq(\015)2357 4002 y Fu(that)429
4104 y Fk(Z)484 4330 y Fq(B)561 4240 y Fu(log)687 4197
y Fq(\015)732 4240 y Fu(\()p Fp(e)22 b Fu(+)1036 4172
y(1)p 945 4217 231 4 v 945 4308 a Fp(J)999 4323 y Fq(f)1044
4308 y Fu(\()p Fp(x)p Fu(\))1186 4240 y(\))p Fp(dx)27
b Fo(\024)i Fu(exp)1612 4159 y Fk(\000)1657 4240 y Fp(C)1727
4255 y Fn(2)1766 4240 y Fp(\015)1822 4196 y Fn(1+)1966
4169 y Fi(1)p 1923 4181 117 3 v 1923 4222 a Fh(n)p Fd(\000)p
Fi(2)2053 4159 y Fk(\001)2132 4240 y Fu(for)j(ev)m(ery)i
Fp(\015)f Fo(\025)28 b Fu(1)k(and)h(2)p Fp(B)g Fo(\032)28
b Fp(A)737 4531 y Fu(where)34 b Fp(C)1089 4546 y Fn(2)1156
4531 y Fu(=)27 b Fp(C)1336 4451 y Fk(\000)1382 4531 y
Fp(n;)17 b(\014)6 b(;)17 b(N)10 b Fu(\()p Fp(f)5 b(;)17
b(A)p Fu(\))p Fp(;)g Fo(j)p Fp(B)5 b Fo(j)p Fp(;)2146
4396 y Fk(Z)2200 4621 y Fq(B)2277 4531 y Fp(J)2351 4434
y Fi(1)p 2350 4446 33 3 v 2356 4487 a(~)-36 b Fh(p)2331
4559 y Fq(f)2396 4531 y Fp(;)2440 4396 y Fk(Z)2495 4621
y Fn(2)p Fq(B)2608 4531 y Fu(exp)q(\()p Fp(\014)6 b(K)h
Fu(\))2984 4451 y Fk(\001)3029 4531 y Fp(:)386 4730 y
Fu(Therefore)34 b(our)e(conclusion)i(\(1.3\))e(follo)m(ws)h(from)g
(Lemma)g(5.1.)540 b Fe(\003)736 4944 y Fu(6.)49 b Ft(Examples)37
b(of)h(mappings)f(of)i(finite)e(distor)-7 b(tion)486
5118 y Fu(The)33 b(follo)m(wing)g(lemma)g(can)g(b)s(e)g(v)m(eri\014ed)h
(b)m(y)g(an)e(elemen)m(tary)j(calculation.)386 5295 y
Fz(Lemma)h(6.1.)k Fs(L)-5 b(et)33 b Fp(\032)28 b Fu(:)g(\(0)p
Fp(;)17 b Fo(1)p Fu(\))26 b Fo(!)i Fu(\(0)p Fp(;)17 b
Fo(1)p Fu(\))31 b Fs(b)-5 b(e)32 b(a)h(strictly)g(monotone,)f(di\013er)
-5 b(en-)386 5412 y(tiable)34 b(function.)45 b(Then)34
b(for)h(the)f(mapping)1291 5596 y Fp(f)11 b Fu(\()p Fp(x)p
Fu(\))28 b(=)1678 5528 y Fp(x)p 1622 5573 167 4 v 1622
5664 a Fo(jj)p Fp(x)p Fo(jj)1798 5596 y Fp(\032)p Fu(\()p
Fo(jj)p Fp(x)p Fo(jj)p Fu(\))p Fp(;)116 b(x)28 b Fo(6)p
Fu(=)g(0)p eop end end
%%Page: 20 20
TeXDict begin HPSdict begin 20 19 bop 386 293 a Fl(20)322
b(ST)-6 b(ANISLA)d(V)23 b(HENCL,)j(PEKKA)f(K)n(OSKELA)f(AND)h(XIA)n(O)f
(ZHONG)386 492 y Fs(we)34 b(have)h(for)f(almost)h(every)f
Fp(x)1156 705 y(D)s(f)11 b Fu(\()p Fp(x)p Fu(\))28 b
Fo(\030)g Fu(max)1745 594 y Fk(n)1821 637 y Fp(\032)p
Fu(\()p Fo(jj)p Fp(x)p Fo(jj)p Fu(\))p 1821 682 293 4
v 1884 773 a Fo(jj)p Fp(x)p Fo(jj)2123 705 y Fp(;)17
b Fo(j)p Fp(\032)2245 664 y Fj(0)2268 705 y Fu(\()p Fo(jj)p
Fp(x)p Fo(jj)p Fu(\))p Fo(j)2539 594 y Fk(o)386 918 y
Fs(and)1303 1075 y Fp(J)1357 1090 y Fq(f)1402 1075 y
Fu(\()p Fp(x)p Fu(\))28 b Fo(\030)1676 1008 y Fp(\032)1726
972 y Fj(0)1750 1008 y Fu(\()p Fo(jj)p Fp(x)p Fo(jj)p
Fu(\))p Fp(\032)p Fu(\()p Fo(jj)p Fp(x)p Fo(jj)p Fu(\))2286
972 y Fq(n)p Fj(\000)p Fn(1)p 1676 1052 746 4 v 1897
1144 a Fo(jj)p Fp(x)p Fo(jj)2064 1115 y Fq(n)p Fj(\000)p
Fn(1)2431 1075 y Fp(:)486 1306 y Fu(Our)37 b(\014rst)g(example)i(sho)m
(ws)g(us)e(that)g(under)h(the)g(in)m(tegrabilit)m(y)g(of)f(a)g(p)s(o)m
(w)m(er)386 1422 y(of)32 b Fp(K)40 b Fu(w)m(e)33 b(cannot)g(exp)s(ect)h
(for)e(a)g(b)s(etter)h(result)h(than)1501 1624 y(log)1627
1581 y Fq(\015)1672 1624 y Fu(\()p Fp(e)22 b Fu(+)1910
1557 y(1)p 1885 1601 100 4 v 1885 1692 a Fp(J)1939 1707
y Fq(f)1994 1624 y Fu(\))28 b Fo(2)g Fp(L)2220 1583 y
Fn(1)386 1841 y Fu(for)34 b(some)i Fp(\015)h(>)32 b Fu(0.)51
b(The)36 b(p)s(ositiv)m(e)g(result)g(from)f(Theorem)h(1.2)f(is)h(w)m
(eak)m(er)h(than)386 1957 y(this.)386 2133 y Fz(Example)56
b(6.2.)49 b Fs(L)-5 b(et)49 b Fp(t)k(>)h Fu(0)p Fs(.)85
b(Ther)-5 b(e)48 b(is)h(a)f(mapping)f(of)i(\014nite)f(distortion)386
2249 y Fp(f)43 b Fu(:)32 b Fp(B)5 b Fu(\(0)p Fp(;)17
b Fu(2\))32 b Fo(!)g Fr(R)1069 2213 y Fq(n)1153 2249
y Fs(such)38 b(that)f Fp(f)48 b Fs(is)38 b(Lipschitz)e(c)-5
b(ontinuous,)38 b(for)f(every)h Fp(")32 b(>)g Fu(0)386
2365 y Fs(we)i(have)386 2548 y Fu(\(6.1\))100 b Fp(K)35
b Fo(2)28 b Fp(L)1022 2477 y Fh(t)p 975 2489 117 3 v
975 2530 a(n)p Fd(\000)p Fi(1)1102 2504 y Fj(\000)p Fq(")1194
2548 y Fu(\()p Fp(B)5 b Fu(\(0)p Fp(;)17 b Fu(2\)\))34
b Fs(and)50 b Fu(log)1932 2505 y Fq(t)p Fj(\000)p Fq(")2050
2548 y Fu(\()p Fp(e)22 b Fu(+)2354 2481 y(1)p 2263 2525
231 4 v 2263 2616 a Fp(J)2317 2631 y Fq(f)2362 2616 y
Fu(\()p Fp(x)p Fu(\))2503 2548 y(\))p Fp(dx)28 b Fo(2)g
Fp(L)2835 2507 y Fn(1)2875 2548 y Fu(\()p Fp(B)5 b Fu(\(0)p
Fp(;)17 b Fu(2\)\))p Fp(;)386 2874 y Fu(\(6.2\))576 b
Fs(but)1344 2738 y Fk(Z)1399 2964 y Fq(B)s Fn(\(0)p Fq(;)p
Fn(1\))1621 2874 y Fu(log)1747 2831 y Fq(t)1777 2874
y Fu(\()p Fp(e)22 b Fu(+)2081 2807 y(1)p 1990 2851 V
1990 2942 a Fp(J)2044 2957 y Fq(f)2090 2942 y Fu(\()p
Fp(x)p Fu(\))2231 2874 y(\))p Fp(dx)28 b Fu(=)f Fo(1)p
Fp(:)386 3117 y Fs(Pr)-5 b(o)g(of.)41 b Fu(Set)1242 3279
y Fp(\013)29 b Fu(=)1446 3212 y Fp(n)p 1446 3256 59 4
v 1458 3347 a(t)1514 3279 y(;)50 b(h)p Fu(\()p Fp(t)p
Fu(\))28 b(=)f(exp)q(\()p Fo(\000)2181 3212 y Fu(1)p
2163 3256 85 4 v 2163 3347 a Fp(t)2198 3319 y Fq(\013)2258
3279 y Fu(\))33 b(and)1186 3555 y Fp(f)11 b Fu(\()p Fp(x)p
Fu(\))27 b(=)1507 3385 y Fk(\()1636 3444 y Fq(x)p 1597
3461 119 4 v 1597 3518 a Fj(jj)p Fq(x)p Fj(jj)1725 3484
y Fp(h)p Fu(\()p Fo(jj)p Fp(x)p Fo(jj)p Fu(\))129 b(for)32
b Fp(x)d Fo(6)p Fu(=)e(0)1587 3632 y(0)517 b(for)32 b
Fp(x)d Fu(=)e(0)p Fp(:)386 3780 y Fu(F)-8 b(rom)32 b(Lemma)h(6.1)f(w)m
(e)i(see)g(that)1009 3962 y Fo(j)p Fp(D)s(f)11 b Fu(\()p
Fp(x)p Fu(\))p Fo(j)27 b(\030)h Fu(exp)q(\()p Fo(\000)1829
3895 y Fu(1)p 1745 3940 216 4 v 1745 4031 a Fo(jj)p Fp(x)p
Fo(jj)1912 4002 y Fq(\013)1971 3962 y Fu(\))2147 3895
y(1)p 2019 3940 306 4 v 2019 4031 a Fo(jj)p Fp(x)p Fo(jj)2186
4002 y Fq(\013)p Fn(+1)2367 3962 y Fu(for)k Fp(x)c Fo(6)p
Fu(=)g(0)386 4182 y(and)34 b(therefore)h Fp(f)46 b Fu(is)34
b(Lipsc)m(hitz)j(con)m(tin)m(uous)f(thanks)f(to)f(lim)2666
4197 y Fq(x)p Fj(!)p Fn(0)2832 4182 y Fo(j)p Fp(D)s(f)11
b Fu(\()p Fp(x)p Fu(\))p Fo(j)30 b Fu(=)h(0.)386 4298
y(Analogously)i(w)m(e)h(obtain)656 4500 y Fp(J)710 4515
y Fq(f)755 4500 y Fu(\()p Fp(x)p Fu(\))28 b Fo(\030)g
Fu(exp)q(\()p Fo(\000)1372 4433 y Fp(n)p 1293 4477 216
4 v 1293 4569 a Fo(jj)p Fp(x)p Fo(jj)1460 4540 y Fq(\013)1519
4500 y Fu(\))1699 4433 y(1)p 1567 4477 314 4 v 1567 4569
a Fo(jj)p Fp(x)p Fo(jj)1734 4540 y Fq(n)p Fn(+)p Fq(\013)1923
4500 y Fu(and)33 b(th)m(us)g Fp(K)7 b Fu(\()p Fp(x)p
Fu(\))28 b Fo(\030)2869 4433 y Fu(1)p 2691 4477 404 4
v 2691 4569 a Fo(jj)p Fp(x)p Fo(jj)2858 4540 y Fn(\()p
Fq(n)p Fj(\000)p Fn(1\))p Fq(\013)386 4719 y Fu(for)34
b(ev)m(ery)j Fp(x)31 b Fo(6)p Fu(=)g(0.)50 b(Conditions)36
b(\(6.1\))e(and)h(\(6.2\))f(can)h(b)s(e)g(no)m(w)g(easily)h(v)m
(eri\014ed)386 4836 y(b)m(y)d(switc)m(hing)i(to)d(p)s(olar)g(co)s
(ordinates.)1461 b Fe(\003)486 5005 y Fu(Our)21 b(second)i(example)g
(tells)g(us)f(that,)i(based)f(on)f(the)g(in)m(tegrabilit)m(y)h(of)e
(exp)q(\()p Fp(\014)6 b(K)h Fu(\))p Fp(;)386 5121 y Fu(one)33
b(cannot)g(exp)s(ect)g(for)f(a)h(b)s(etter)g(result)g(than)1199
5323 y(exp)1348 5212 y Fk(\020)1407 5323 y Fp(C)24 b
Fu(log)1637 5252 y Fh(n)p Fd(\000)p Fi(1)p 1637 5265
117 3 v 1676 5306 a Fh(n)1768 5242 y Fk(\000)1813 5323
y Fp(e)f Fu(+)2080 5256 y(1)p 1989 5300 231 4 v 1989
5391 a Fp(J)2043 5406 y Fq(f)2088 5391 y Fu(\()p Fp(x)p
Fu(\))2229 5242 y Fk(\001)2275 5212 y(\021)2362 5323
y Fo(2)28 b Fp(L)2522 5282 y Fn(1)386 5540 y Fu(for)45
b(some)i(constan)m(t)g Fp(C)57 b(>)50 b Fu(0.)83 b(Again)45
b(the)i(p)s(ositiv)m(e)g(result)g(obtained)f(from)386
5656 y(Theorem)34 b(1.1)e(is)h(not)f(optimal.)p eop end
end
%%Page: 21 21
TeXDict begin HPSdict begin 21 20 bop 977 293 a Fl(REVERSE)32
b(INEQUALITIES)g(F)n(OR)h(THE)g(JA)n(COBIAN)514 b(21)386
492 y Fz(Example)53 b(6.3.)c Fs(Ther)-5 b(e)46 b(is)h(a)f(mapping)g
Fp(f)58 b Fs(of)46 b(\014nite)h(distortion)f(de\014ne)-5
b(d)46 b(in)386 608 y Fp(B)5 b Fu(\(0)p Fp(;)17 b Fu(1)p
Fp(=)p Fu(2\))35 b Fs(and)g(c)-5 b(onstants)36 b Fp(c)1478
623 y Fn(1)1517 608 y Fp(;)17 b(c)1603 623 y Fn(2)1643
608 y Fp(;)g(c)1729 623 y Fn(3)1798 608 y Fp(>)29 b Fu(0)36
b Fs(such)g(that)h Fp(f)47 b Fs(is)35 b(Lipschitz)h(c)-5
b(ontinu-)386 724 y(ous)386 907 y Fu(\(6.3\))673 b(exp)q(\()p
Fp(c)1489 922 y Fn(1)1529 907 y Fp(K)7 b Fu(\))27 b Fo(2)h
Fp(L)1844 866 y Fn(1)1884 907 y Fu(\()p Fp(B)5 b Fu(\(0)p
Fp(;)2142 840 y Fu(1)p 2142 884 49 4 v 2142 975 a(2)2200
907 y(\)\))35 b Fs(and)987 1160 y Fu(exp)1136 1050 y
Fk(\020)1195 1160 y Fp(c)1237 1175 y Fn(2)1293 1160 y
Fu(log)1429 1089 y Fh(n)p Fd(\000)p Fi(1)p 1429 1102
117 3 v 1469 1143 a Fh(n)1560 1079 y Fk(\000)1606 1160
y Fp(e)22 b Fu(+)1872 1093 y(1)p 1781 1137 231 4 v 1781
1229 a Fp(J)1835 1244 y Fq(f)1881 1229 y Fu(\()p Fp(x)p
Fu(\))2022 1079 y Fk(\001)2067 1050 y(\021)2155 1160
y Fo(2)28 b Fp(L)2315 1119 y Fn(1)2355 1160 y Fu(\()p
Fp(B)5 b Fu(\(0)p Fp(;)2612 1093 y Fu(1)p 2612 1137 49
4 v 2612 1229 a(2)2671 1160 y(\)\))p Fp(;)386 1465 y
Fu(\(6.4\))322 b Fs(but)1090 1330 y Fk(Z)1145 1555 y
Fq(B)s Fn(\(0)p Fq(;)1293 1528 y Fi(1)p 1294 1540 31
3 v 1294 1581 a(4)1334 1555 y Fn(\))1383 1465 y Fu(exp)1532
1355 y Fk(\020)1591 1465 y Fp(c)1633 1480 y Fn(3)1689
1465 y Fu(log)1825 1395 y Fh(n)p Fd(\000)p Fi(1)p 1825
1408 117 3 v 1864 1449 a Fh(n)1956 1385 y Fk(\000)2002
1465 y Fp(e)22 b Fu(+)2268 1398 y(1)p 2177 1443 231 4
v 2177 1534 a Fp(J)2231 1549 y Fq(f)2276 1534 y Fu(\()p
Fp(x)p Fu(\))2417 1385 y Fk(\001)2463 1355 y(\021)2523
1465 y Fp(dx)27 b Fu(=)h Fo(1)p Fp(:)386 1718 y Fs(Pr)-5
b(o)g(of.)41 b Fu(Set)1069 1858 y Fp(a)28 b Fu(=)1347
1791 y Fp(n)p 1262 1835 229 4 v 1262 1927 a(n)22 b Fo(\000)h
Fu(1)1501 1858 y Fp(;)49 b(h)p Fu(\()p Fp(t)p Fu(\))28
b(=)f(exp)q(\()p Fo(\000j)17 b Fu(log)h Fp(t)p Fo(j)2390
1817 y Fq(a)2431 1858 y Fu(\))33 b(and)1186 2142 y Fp(f)11
b Fu(\()p Fp(x)p Fu(\))27 b(=)1507 1972 y Fk(\()1636
2032 y Fq(x)p 1597 2048 119 4 v 1597 2105 a Fj(jj)p Fq(x)p
Fj(jj)1725 2071 y Fp(h)p Fu(\()p Fo(jj)p Fp(x)p Fo(jj)p
Fu(\))129 b(for)32 b Fp(x)d Fo(6)p Fu(=)e(0)1587 2219
y(0)517 b(for)32 b Fp(x)d Fu(=)e(0)p Fp(:)386 2367 y
Fu(F)-8 b(rom)32 b(Lemma)h(6.1)f(w)m(e)i(ha)m(v)m(e)g(that)807
2564 y Fo(j)p Fp(D)s(f)11 b Fu(\()p Fp(x)p Fu(\))p Fo(j)27
b(\030)h Fu(exp)1418 2483 y Fk(\000)1464 2564 y Fo(\000)1541
2479 y Fk(\014)1541 2539 y(\014)1575 2564 y Fu(log)17
b Fo(jj)p Fp(x)p Fo(jj)1884 2479 y Fk(\014)1884 2539
y(\014)1917 2506 y Fq(a)1958 2483 y Fk(\001)2014 2497
y Fo(j)g Fu(log)g Fo(jj)p Fp(x)p Fo(jjj)2396 2460 y Fq(a)p
Fj(\000)p Fn(1)p 2014 2541 513 4 v 2187 2632 a Fo(jj)p
Fp(x)p Fo(jj)2569 2564 y Fu(for)32 b Fp(x)c Fo(6)p Fu(=)g(0)386
2783 y(and)33 b(therefore)h Fp(f)44 b Fu(is)34 b(Lipsc)m(hitz)h(con)m
(tin)m(uous)g(in)e(view)i(of)e(lim)2670 2798 y Fq(x)p
Fj(!)p Fn(0)2836 2783 y Fo(j)p Fp(D)s(f)11 b Fu(\()p
Fp(x)p Fu(\))p Fo(j)28 b Fu(=)h(0.)386 2899 y(Analogously)k(w)m(e)h
(see)g(that)1039 3145 y Fp(J)1093 3160 y Fq(f)1138 3145
y Fu(\()p Fp(x)p Fu(\))28 b Fo(\030)g Fu(exp)1551 3064
y Fk(\000)1597 3145 y Fo(\000)p Fp(n)1732 3060 y Fk(\014)1732
3120 y(\014)1766 3145 y Fu(log)17 b Fo(jj)p Fp(x)p Fo(jj)2075
3060 y Fk(\014)2075 3120 y(\014)2108 3086 y Fq(a)2149
3064 y Fk(\001)2205 2986 y(\014)2205 3046 y(\014)2238
3071 y Fu(log)h Fo(jj)p Fp(x)p Fo(jj)2548 2986 y Fk(\014)2548
3046 y(\014)2580 3013 y Fq(a)p Fj(\000)p Fn(1)p 2205
3122 507 4 v 2352 3213 a Fo(jj)p Fp(x)p Fo(jj)2519 3184
y Fq(n)875 3399 y Fu(and)33 b(th)m(us)h Fp(K)7 b Fu(\()p
Fp(x)p Fu(\))28 b Fo(\030)1634 3315 y Fk(\014)1634 3374
y(\014)1667 3399 y Fu(log)18 b Fo(jj)p Fp(x)p Fo(jj)1977
3315 y Fk(\014)1977 3374 y(\014)2009 3341 y Fn(\()p Fq(a)p
Fj(\000)p Fn(1\)\()p Fq(n)p Fj(\000)p Fn(1\))2411 3399
y Fu(=)28 b Fo(\000)17 b Fu(log)h Fo(jj)p Fp(x)p Fo(jj)386
3562 y Fu(for)37 b(ev)m(ery)i Fp(x)e Fo(6)p Fu(=)f(0.)58
b(Since)38 b(\(log)1659 3523 y Fn(1)p 1590 3539 173 4
v 1590 3596 a Fq(J)1629 3608 y Fh(f)1668 3596 y Fn(\()p
Fq(x)p Fn(\))1773 3562 y Fu(\))1821 3497 y Fh(n)p Fd(\000)p
Fi(1)p 1821 3510 117 3 v 1860 3551 a Fh(n)1988 3562 y
Fo(\030)e(\000)17 b Fu(log)h Fo(jj)p Fp(x)p Fo(jj)37
b Fu(it)g(is)h(not)f(di\016cult)i(to)386 3701 y(v)m(erify)34
b(conditions)g(\(6.3\))e(and)g(\(6.4\).)1523 b Fe(\003)1590
3904 y Ft(References)427 4062 y Fy([1])42 b(K.)25 b(Astala,)h(T.)g(Iw)n
(aniec,)f(P)-7 b(.)26 b(Kosk)n(ela)d(and)j(G.)g(Martin,)g(Mappings)f
(of)h(BMO-b)r(ounded)557 4162 y(distortion,)h Fm(Math.)k(A)n(nn.)c
Fc(317)63 b Fy(no.)27 b(4)g(\(2000\),)f(703-726.)427
4261 y([2])42 b(S.)31 b(M.)g(Buc)n(kley)-7 b(,)32 b(Estimates)e(for)h
(op)r(erator)e(norms)h(on)h(w)n(eigh)n(ted)g(spaces)f(and)h(rev)n(erse)
557 4361 y(Jensen)c(inequalities,)g Fm(T)-6 b(r)l(ans.)30
b(A)n(mer.)g(Math.)h(So)l(c.)d Fc(340)63 b Fy(no.)27
b(1)h(\(1993\),)e(253{272.)427 4460 y([3])42 b(R.)30
b(Coifman)f(and)h(C.)f(F)-7 b(e\013erman,)31 b(W)-7 b(eigh)n(ted)30
b(norm)f(inequalities)g(for)g(maximal)h(func-)557 4560
y(tions)d(and)g(singular)g(in)n(tegrals,)f Fm(Studia)k(Math.)f
Fc(51)e Fy(\(1974\),)f(241{250.)427 4660 y([4])42 b(G.)29
b(Da)n(vid,)g(Solutions)g(de)g(l'equation)g(de)g(Beltrami)f(a)n(v)n(ec)
g Fb(jj)p Fw(\026)p Fb(jj)e Fy(=)f(1,)k Fm(A)n(nn.)h(A)l(c)l(ad.)i
(Sci.)557 4759 y(F)-6 b(enn.)29 b(Ser.)h(A)g(I)f(Math.)g
Fc(13)j Fy(no.)27 b(1)g(\(1988\),)g(25{70.)427 4859 y([5])42
b(A.)29 b(Elcrat)f(and)h(N.)h(Mey)n(ers,)e(Some)h(results)g(on)f(the)i
(regularit)n(y)d(for)i(solutions)f(of)h(non-)557 4959
y(linear)k(elliptic)i(systems)e(and)i(quasiregular)c(functions,)36
b Fm(Duke)g(Math.)h(J.)d Fc(42)g Fy(\(1975\),)557 5058
y(121-136.)427 5158 y([6])42 b(D.)23 b(F)-7 b(araco,)23
b(P)-7 b(.)23 b(Kosk)n(ela)e(and)i(X.)g(Zhong,)g(Mappings)g(of)g
(\014nite)h(distortion:)34 b(The)23 b(degree)557 5257
y(of)k(regularit)n(y,)f Fm(A)l(dv.)k(Math.)f Fc(90)e
Fy(\(2005\),)g(300-318.)427 5357 y([7])42 b(H.)28 b(F)-7
b(ederer,)26 b(Surface)i(area)e(I)r(I.,)i Fm(T)-6 b(r)l(ans.)30
b(A)n(mer.)g(Math.)h(So)l(c.)d Fc(55)f Fy(\(1944\),)f(438-456.)427
5457 y([8])42 b(R.)26 b(F)-7 b(e\013erman,)27 b(A)f(criterion)g(for)f
(the)i(absolute)f(con)n(tin)n(uit)n(y)g(of)g(the)h(harmonic)e(measure)
557 5556 y(asso)r(ciated)37 b(with)h(an)g(elliptic)h(op)r(erator,)h
Fm(J.)f(A)n(mer.)h(Math.)h(So)l(c.)e Fc(2)88 b Fy(no.)38
b(1)g(\(1989\),)557 5656 y(127-135.)p eop end end
%%Page: 22 22
TeXDict begin HPSdict begin 22 21 bop 386 293 a Fl(22)322
b(ST)-6 b(ANISLA)d(V)23 b(HENCL,)j(PEKKA)f(K)n(OSKELA)f(AND)h(XIA)n(O)f
(ZHONG)427 492 y Fy([9])42 b(F.)32 b(W.)h(Gehring,)g(The)f
Fw(L)1387 462 y Fv(p)1425 492 y Fy(-in)n(tegrabilit)n(y)e(of)i(the)h
(partial)e(deriv)-5 b(ativ)n(es)31 b(of)h(a)g(quasicon-)557
592 y(formal)26 b(mapping,)i Fm(A)l(cta)h(Math.)g Fc(130)e
Fy(\(1973\),)f(265-277.)386 691 y([10])41 b(V.)36 b(Gol'dstein)h(and)f
(S.)g(V)-7 b(o)r(dop'y)n(ano)n(v,)37 b(Quasiconformal)d(mappings)i(and)
g(spaces)f(of)557 791 y(functions)e(with)i(generalized)d(\014rst)h
(deriv)-5 b(ativ)n(es,)34 b Fm(Sibirsk.)j(Mat.)f(Z.)e
Fc(17)f Fy(\(1976\),)h(515{)557 890 y(531.)386 990 y([11])41
b(J.)d(Heinonen)g(and)g(P)-7 b(.)39 b(Kosk)n(ela,)g(Sob)r(olev)e
(mappings)h(with)h(in)n(tegrable)e(dilatations,)557 1090
y Fm(A)n(r)l(ch.)30 b(R)l(ational)g(Me)l(ch.)h(A)n(nal.)d
Fc(125)63 b Fy(no.)27 b(1)h(\(1993\),)e(81-97.)386 1189
y([12])41 b(J.)29 b(Heinonen)g(and)g(P)-7 b(.)29 b(Kosk)n(ela,)e(W)-7
b(eigh)n(ted)29 b(Sob)r(olev)g(and)g(P)n(oincar)n(\023)-39
b(e)26 b(inequalities)j(and)557 1289 y(quasiregular)c(mappings)i(of)g
(p)r(olynomial)g(t)n(yp)r(e,)h Fm(Math.)j(Sc)l(and.)d
Fc(77)g Fy(\(1995\),)e(251-271.)386 1389 y([13])41 b(J.)27
b(Heinonen)h(and)g(P)-7 b(.)27 b(Kosk)n(ela,)f(Quasiconformal)f(maps)j
(in)g(metric)f(spaces)g(with)i(con-)557 1488 y(trolled)e(geometry)-7
b(,)26 b Fm(A)l(cta)k(Math.)f Fc(181)d Fy(\(1998\),)h(1{61.)386
1588 y([14])41 b(S.)23 b(Hencl)h(and)g(J.)f(Mal)q(\023)-43
b(y,)24 b(Mappings)f(of)h(\014nite)g(distortion:)34 b(Hausdor\013)23
b(measure)f(of)i(zero)557 1687 y(sets,)j Fm(Math.)k(A)n(nn.)c
Fc(324)g Fy(\(2002\),)f(451-464.)386 1787 y([15])41 b(D.)e(A.)f(Herron)
g(and)g(P)-7 b(.)38 b(Kosk)n(ela,)h(Conformal)f(capacit)n(y)f(and)h
(the)h(quasih)n(yp)r(erb)r(olic)557 1887 y(metric,)27
b Fm(Indiana)k(Univ.)f(Math.)h(J.)d Fc(45)63 b Fy(no.)27
b(2)h(\(1996\),)e(333{359.)386 1986 y([16])41 b(T.)28
b(Iw)n(aniec,)f(P)-7 b(.)28 b(Kosk)n(ela)e(and)i(G.)g(Martin,)g
(Mappings)g(of)g(BMO-distortion)e(and)i(Bel-)557 2086
y(trami)f(t)n(yp)r(e)h(op)r(erators,)d Fm(J.)30 b(A)n(nalyse)g(Math.)f
Fc(88)e Fy(\(2002\),)g(337{381.)386 2186 y([17])41 b(T.)21
b(Iw)n(aniec,)h(P)-7 b(.)21 b(Kosk)n(ela,)f(G.)i(Martin)f(and)g(C.)h
(Sb)r(ordone,)f(Mappings)g(of)g(exp)r(onen)n(tially)557
2285 y(in)n(tegrable)26 b(distortion,)h Fm(J.)j(L)l(ondon)g(Math.)h(So)
l(c.)d Fc(67)63 b Fy(no.)28 b(1)f(\(2003\),)f(123{136.)386
2385 y([18])41 b(T.)30 b(Iw)n(aniec,)f(P)-7 b(.)30 b(Kosk)n(ela)e(and)h
(J.)h(Onninen,)h(Mappings)e(of)h(\014nite)g(distortion:)41
b(Mono-)557 2484 y(tonicit)n(y)27 b(and)g(con)n(tin)n(uit)n(y)-7
b(,)28 b Fm(Invent.)h(Math.)g Fc(144)e Fy(\(2001\),)f(507{531.)386
2584 y([19])41 b(T.)28 b(Iw)n(aniec)f(and)h(G.)h(Martin,)f
Fm(Ge)l(ometric)j(function)g(the)l(ory)g(and)f(nonline)l(ar)h(analysis)
p Fy(,)557 2684 y(Oxford)h(Mathematical)h(Monographs,)g(The)g
(Clarendon)g(Press,)g(Oxford)g(Univ)n(ersit)n(y)557 2783
y(Press,)26 b(New)i(Y)-7 b(ork,)26 b(2001.)386 2883 y([20])41
b(T.)26 b(Iw)n(aniec)g(and)g(C.)h(Sb)r(ordone,)f(On)g(the)h(in)n
(tegrabilit)n(y)e(of)h(the)h(Jacobian)e(under)i(mini-)557
2983 y(mal)g(h)n(yp)r(otheses,)g Fm(A)n(r)l(ch.)j(R)l(ational)g(Me)l
(ch.)i(A)n(nal.)c Fc(119)j Fy(no.)c(2)g(\(1992\),)g(129{143.)386
3085 y([21])41 b(T.)18 b(Iw)n(aniec)g(and)h(V.)1209 3064
y(\024)1206 3085 y(Sv)n(er\023)-42 b(ak,)19 b(On)g(mappings)f(with)h
(in)n(tegrable)f(dilatation,)i Fm(Pr)l(o)l(c.)j(A)n(mer.)557
3184 y(Math.)31 b(So)l(c.)d Fc(118)f Fy(\(1993\),)f(181-188.)386
3284 y([22])41 b(J.)33 b(Onninen,)h(A)g(note)f(on)g(the)g(isop)r
(erimetric)f(inequalit)n(y,)i Fm(Pr)l(o)l(c.)i(A)n(mer.)f(Math.)h(So)l
(c.)557 3384 y Fc(131)62 b Fy(no.)28 b(12)f(\(2003\),)f(3821-3825.)386
3483 y([23])41 b(S.)30 b(Kallunki,)g(Mappings)g(of)g(\014nite)h
(distortion:)41 b(The)30 b(metric)g(de\014nition,)i Fm(A)n(nn.)f(A)l(c)
l(ad.)557 3583 y(Sci.)f(F)-6 b(enn.)30 b(Math.)h(Diss.)d
Fc(131)f Fy(\(2002\),)f(1{33.)386 3683 y([24])41 b(J.)25
b(Kauhanen,)h(P)-7 b(.)26 b(Kosk)n(ela)d(and)j(J.)g(Mal)q(\023)-43
b(y,)26 b(Mappings)f(of)h(\014nite)h(distortion:)35 b(Discrete-)557
3782 y(ness)27 b(and)g(op)r(enness,)g Fm(A)n(r)l(ch.)k(R)l(ation.)f(Me)
l(ch.)h(A)n(nal.)d Fc(160)f Fy(\(2001\),)f(135{151.)386
3882 y([25])41 b(J.)22 b(Kauhanen,)g(P)-7 b(.)22 b(Kosk)n(ela)e(and)j
(J.)f(Mal)q(\023)-43 b(y,)23 b(Mappings)e(of)i(\014nite)f(distortion:)
34 b(Condition)557 3981 y(N,)28 b Fm(Michigan)k(Math.)f(J.)c
Fc(49)g Fy(\(2001\),)g(169{181.)386 4081 y([26])41 b(J.)19
b(Kauhanen,)h(P)-7 b(.)20 b(Kosk)n(ela,)f(J.)g(Mal)q(\023)-43
b(y,)21 b(J.)e(Onninen)h(and)f(X.)h(Zhong,)h(Mappings)e(of)g(\014nite)
557 4181 y(distortion:)33 b(Sharp)22 b(Orlicz-conditions,)f
Fm(R)l(ev.)k(Mat.)h(Ib)l(er)l(o)l(americ)l(ana)k Fc(19)22
b Fy(\(2003\),)g(857{)557 4280 y(872.)386 4380 y([27])41
b(P)-7 b(.)38 b(Kosk)n(ela)f(and)i(J.)g(Mal)q(\023)-43
b(y,)41 b(Mappings)d(of)h(\014nite)h(distortion:)58 b(the)40
b(zero)e(set)h(of)f(the)557 4480 y(Jacobian,)26 b Fm(J.)j(Eur.)i(Math.)
g(So)l(c.)d Fc(5)j Fy(no.)d(2)f(\(2003\),)f(95{105.)386
4579 y([28])41 b(J.)28 b(Manfredi)h(and)f(E.)g(Villamor,)h(An)g
(extension)f(of)h(Reshetn)n(y)n(ak's)e(theorem,)i Fm(Indiana)557
4679 y(Univ.)h(Math.)h(J.)d Fc(47)j Fy(no.)c(3)g(\(1998\),)g
(1131{1145.)386 4778 y([29])41 b(O.)e(Martio,)i(On)e(the)h(in)n
(tegrabilit)n(y)e(of)h(the)h(deriv)-5 b(ate)39 b(of)g(a)g(quasiregular)
e(mapping,)557 4878 y Fm(Math.)31 b(Sc)l(and.)d Fc(35)f
Fy(\(1974\),)f(43-48.)386 4978 y([30])41 b(B.)23 b(Muc)n(k)n(enhoupt,)g
(W)-7 b(eigh)n(ted)24 b(norm)e(inequalities)h(for)g(the)g(Hardy)g
(maximal)f(function,)557 5077 y Fm(T)-6 b(r)l(ans.)30
b(A)n(mer.)f(Math.)i(So)l(c.)e Fc(165)e Fy(\(1972\),)f(207-226.)386
5177 y([31])41 b(Y)-7 b(u.)24 b(G.)f(Reshetn)n(y)n(ak,)h
Fm(Sp)l(ac)l(e)i(Mappings)i(with)e(Bounde)l(d)h(Distortion)p
Fy(,)e(T)-7 b(rans.)23 b(of)g(Math-)557 5277 y(ematical)k(Monographs,)e
(Amer.)j(Math.)g(So)r(c,)f(v)n(ol.)g(73,)g(1989.)386
5376 y([32])41 b(S.)g(Ric)n(kman,)i Fm(Quasir)l(e)l(gular)f(mappings)p
Fy(,)k(Ergebnisse)39 b(der)i(Mathematik)f(und)i(ihrer)557
5476 y(Grenzgebiete)19 b(\(3\))i([Results)f(in)h(Mathematics)f(and)h
(Related)f(Areas)f(\(3\)],)k(26.)c(Springer-)557 5575
y(V)-7 b(erlag,)26 b(Berlin,)h(1993.)p eop end end
%%Page: 23 23
TeXDict begin HPSdict begin 23 22 bop 977 293 a Fl(REVERSE)32
b(INEQUALITIES)g(F)n(OR)h(THE)g(JA)n(COBIAN)514 b(23)486
492 y Fx(Dep)-6 b(ar)g(tment)23 b(of)f(Ma)-6 b(thema)g(tics)23
b(and)e(St)-6 b(a)g(tistics,)24 b(University)e(of)g(Jyv)3084
485 y(\177)3081 492 y(askyl)3320 485 y(\177)3317 492
y(a,)386 592 y(P.O.)30 b(Bo)n(x)h(35)g(\(MaD\),)h(FIN-40014)e
(University)h(of)h(Jyv)2473 585 y(\177)2470 592 y(askyl)2709
585 y(\177)2706 592 y(a,)e(Finland)486 691 y Fm(E-mail)g(addr)l(ess)7
b Fy(:)38 b Fa(hencl@maths.jyu.f)o(i)486 791 y Fm(E-mail)30
b(addr)l(ess)7 b Fy(:)38 b Fa(pkoskela@maths.jy)o(u.)o(fi)486
890 y Fm(E-mail)30 b(addr)l(ess)7 b Fy(:)38 b Fa(zhong@maths.jyu.f)o(i)
p eop end end
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF