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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F13%3A10159509%21RIV14-MSM-11320___
rdf:type
skos:Concept n4:Vysledek
rdfs:seeAlso
http://onlinelibrary.wiley.com/doi/10.1002/mana.201100130/abstract
dcterms:description
Let $\alpha>0$ and $p\in[1,\infty)$ satisfy $\alpha p\leq n$. Suppose that $f:\rn\to\rn$ is a $K$-quasiconformal mapping and let $u\in W^{\alpha,p}(\rn)$ have compact support. We find an optimal value of $\beta=\beta(\alpha,K,n)$ such that $u\circ f\in W^{\beta,p}(\rn)$. We also give an answer to the analogous problem where we moreover assume that $u$ is bounded. Let $\alpha>0$ and $p\in[1,\infty)$ satisfy $\alpha p\leq n$. Suppose that $f:\rn\to\rn$ is a $K$-quasiconformal mapping and let $u\in W^{\alpha,p}(\rn)$ have compact support. We find an optimal value of $\beta=\beta(\alpha,K,n)$ such that $u\circ f\in W^{\beta,p}(\rn)$. We also give an answer to the analogous problem where we moreover assume that $u$ is bounded.
dcterms:title
Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces
skos:prefLabel
Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces
skos:notation
RIV/00216208:11320/13:10159509!RIV14-MSM-11320___
n4:predkladatel
n5:orjk%3A11320
n6:aktivita
n15:I
n6:aktivity
I
n6:cisloPeriodika
286
n6:dodaniDat
n19:2014
n6:domaciTvurceVysledku
n16:8100624
n6:druhVysledku
n11:J
n6:duvernostUdaju
n10:S
n6:entitaPredkladatele
n13:predkladatel
n6:idSjednocenehoVysledku
66522
n6:idVysledku
RIV/00216208:11320/13:10159509
n6:jazykVysledku
n20:eng
n6:klicovaSlova
spaces; Triebel-Lizorkin; functions; mappings; quasiconformal; Composition
n6:klicoveSlovo
n7:spaces n7:functions n7:quasiconformal n7:Triebel-Lizorkin n7:mappings n7:Composition
n6:kodStatuVydavatele
DE - Spolková republika Německo
n6:kontrolniKodProRIV
[B9F661D8020F]
n6:nazevZdroje
Mathematische Nachrichten
n6:obor
n14:BA
n6:pocetDomacichTvurcuVysledku
1
n6:pocetTvurcuVysledku
2
n6:rokUplatneniVysledku
n19:2013
n6:svazekPeriodika
2013
n6:tvurceVysledku
Hencl, Stanislav Koskela, Pekka
n6:wos
000318295100006
s:issn
0025-584X
s:numberOfPages
10
n17:doi
10.1002/mana.201100130
n18:organizacniJednotka
11320