"Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces"@en . . "Hencl, Stanislav" . . "1"^^ . "10"^^ . "Mathematische Nachrichten" . "000318295100006" . "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." . . . "286" . . "2013" . . "http://onlinelibrary.wiley.com/doi/10.1002/mana.201100130/abstract" . "[B9F661D8020F]" . . . "Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces"@en . . "RIV/00216208:11320/13:10159509" . . "10.1002/mana.201100130" . "I" . "11320" . . . "0025-584X" . "spaces; Triebel-Lizorkin; functions; mappings; quasiconformal; Composition"@en . "RIV/00216208:11320/13:10159509!RIV14-MSM-11320___" . . . "Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces" . . "Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces" . "DE - Spolkov\u00E1 republika N\u011Bmecko" . . "Koskela, Pekka" . . "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 . "66522" . . "2"^^ .