About: Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces     Goto   Sponge   NotDistinct   Permalink

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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. (en)
Title
  • Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces
  • Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces (en)
skos:prefLabel
  • Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces
  • Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces (en)
skos:notation
  • RIV/00216208:11320/13:10159509!RIV14-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I
http://linked.open...iv/cisloPeriodika
  • 286
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  • 66522
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  • RIV/00216208:11320/13:10159509
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  • spaces; Triebel-Lizorkin; functions; mappings; quasiconformal; Composition (en)
http://linked.open.../riv/klicoveSlovo
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  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [B9F661D8020F]
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  • Mathematische Nachrichten
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  • 2013
http://linked.open...iv/tvurceVysledku
  • Hencl, Stanislav
  • Koskela, Pekka
http://linked.open...ain/vavai/riv/wos
  • 000318295100006
issn
  • 0025-584X
number of pages
http://bibframe.org/vocab/doi
  • 10.1002/mana.201100130
http://localhost/t...ganizacniJednotka
  • 11320
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