Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10159509" target="_blank" >RIV/00216208:11320/13:10159509 - isvavai.cz</a>

Result on the web

<a href="http://onlinelibrary.wiley.com/doi/10.1002/mana.201100130/abstract" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/mana.201100130/abstract</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mana.201100130" target="_blank" >10.1002/mana.201100130</a>

Result language

angličtina

Original language name

Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces

Original language description

Let $alpha>0$ and $pin[1,infty)$ satisfy $alpha pleq n$. Suppose that $f:rntorn$ is a $K$-quasiconformal mapping and let $uin W^{alpha,p}(rn)$ have compact support. We find an optimal value of $beta=beta(alpha,K,n)$ such that $ucirc fin W^{beta,p}(rn)$. We also give an answer to the analogous problem where we moreover assume that $u$ is bounded.

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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

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

Name of the periodical

Mathematische Nachrichten

ISSN

0025-584X

e-ISSN

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Volume of the periodical

2013

Issue of the periodical within the volume

286

Country of publishing house

DE - GERMANY

Number of pages

10

Pages from-to

669-678

UT code for WoS article

000318295100006

EID of the result in the Scopus database

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