Composition of q-quasiconformal mappings and functions in Orlicz-Sobolev spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10190716" target="_blank" >RIV/00216208:11320/12:10190716 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Composition of q-quasiconformal mappings and functions in Orlicz-Sobolev spaces

Original language description

Let $Omegasubsetrn$, $qgeq n$ and $alphageq 0$ or $1<qleq n$ and $alphaleq 0$. We prove that the composition of $q$-quasiconfomal mapping $f$ and function $uin WL^qlog^{alpha}L_{loc}(f(Omega))$ satisfies $ucirc fin WL^qlog^{alpha}L_{loc}(Omega)$. Moreover each homeomorphism $f$ which introduces continuous composition operator from $WL^qlog^{alpha}L$ to $WL^qlog^{alpha}L$ is necessarily a $q$-quasiconformal mapping. As a new tool we prove a Lebesgue density type theorem for Orliczspaces.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Illinois Journal of Mathematics

ISSN

0019-2082

e-ISSN

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Volume of the periodical

2012

Issue of the periodical within the volume

56

Country of publishing house

IN - INDIA

Number of pages

24

Pages from-to

931-955

UT code for WoS article

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EID of the result in the Scopus database

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