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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F07%3A00005648%21RIV08-MSM-11320___
rdf:type
n16:Vysledek skos:Concept
dcterms:description
We show that the inverse of a planar homeomorphism of bounded variation is also of bounded variation. In higher dimensions we show that $f^{-1}$ is of bounded variation provided that $f\in W^{1,1}(\Omega;\rn)$ is a homeomorphism with $|Df|$ in the Lorentz space $L^{n-1,1}(\Omega)$. We show that the inverse of a planar homeomorphism of bounded variation is also of bounded variation. In higher dimensions we show that $f^{-1}$ is of bounded variation provided that $f\in W^{1,1}(\Omega;\rn)$ is a homeomorphism with $|Df|$ in the Lorentz space $L^{n-1,1}(\Omega)$. Dokážeme, že ve dvou dimenzích je inverze homeomorfismu s konečnou variací také zobrazení s konečnou variací. Ve více dimenzích dokážeme, že $f^{-1}$ má konečnou variaci, pokud $f\in W^{1,1}(\Omega;\rn)$ je homeomorfismus a $|Df|$ leží v Lorentzově prostoru $L^{n-1,1}(\Omega)$.
dcterms:title
Homeomorfismy s konečnou variací Homeomorphisms of bounded variation Homeomorphisms of bounded variation
skos:prefLabel
Homeomorphisms of bounded variation Homeomorfismy s konečnou variací Homeomorphisms of bounded variation
skos:notation
RIV/00216208:11320/07:00005648!RIV08-MSM-11320___
n4:strany
351;360
n4:aktivita
n14:Z
n4:aktivity
Z(MSM0021620839)
n4:cisloPeriodika
3
n4:dodaniDat
n12:2008
n4:domaciTvurceVysledku
n17:8100624
n4:druhVysledku
n7:J
n4:duvernostUdaju
n11:S
n4:entitaPredkladatele
n5:predkladatel
n4:idSjednocenehoVysledku
424705
n4:idVysledku
RIV/00216208:11320/07:00005648
n4:jazykVysledku
n15:eng
n4:klicovaSlova
Homeomorphisms; bounded; variation
n4:klicoveSlovo
n6:bounded n6:variation n6:Homeomorphisms
n4:kodStatuVydavatele
DE - Spolková republika Německo
n4:kontrolniKodProRIV
[DF0139446B15]
n4:nazevZdroje
Archive for Rational Mechanics and Analysis
n4:obor
n9:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
3
n4:rokUplatneniVysledku
n12:2007
n4:svazekPeriodika
186
n4:tvurceVysledku
Hencl, Stanislav
n4:zamer
n10:MSM0021620839
s:issn
0003-9527
s:numberOfPages
10
n18:organizacniJednotka
11320