Homeomorphisms of bounded variation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F07%3A00005648" target="_blank" >RIV/00216208:11320/07:00005648 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Homeomorphisms of bounded variation
Original language 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 $fin W^{1,1}(Omega;rn)$ is a homeomorphism with $|Df|$ in the Lorentz space $L^{n-1,1}(Omega)$.
Czech name
Homeomorfismy s konečnou variací
Czech description
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 $fin W^{1,1}(Omega;rn)$ je homeomorfismus a $|Df|$ leží v Lorentzově prostoru $L^{n-1,1}(Omega)$.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archive for Rational Mechanics and Analysis
ISSN
0003-9527
e-ISSN
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Volume of the periodical
186
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
10
Pages from-to
351-360
UT code for WoS article
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EID of the result in the Scopus database
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