Composition of quasiconformal mappings and functions in Triebel‐Lizorkin spaces

DOI10.1002/mana.201100130zbMath1271.46032OpenAlexW2102275915WikidataQ110213187 ScholiaQ110213187MaRDI QIDQ4925037

Pekka Koskela, Stanislav Hencl

Publication date: 11 June 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100130

zbMATH Keywords

Besov spacequasiconformal mappingcomposition operatorTriebel-Lizorkin space

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear composition operators (47B33)

Related Items (11)

Sharp bounds for composition with quasiconformal mappings in Sobolev spaces ⋮ Triebel-Lizorkin regularity and bi-Lipschitz maps: composition operator and inverse function regularity ⋮ Characterization for stability in planar conductivities ⋮ Pointwise characterizations of Besov and Triebel-Lizorkin spaces in terms of averages on balls ⋮ Quasiconformal mappings and sharp estimates for the distance to \(L^\infty\) in some function spaces ⋮ Composition of \(q\)-quasiconformal mappings and functions in Orlicz-Sobolev spaces ⋮ Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings ⋮ UNIQUENESS THEOREMS FOR MAPPINGS OF FINITE DISTORTION ⋮ Littlewood-Paley characterizations of Hajłasz-Sobolev and Triebel-Lizorkin spaces via averages on balls ⋮ Composition operators on \(W^1X\) are necessarily induced by quasiconformal mappings ⋮ Composition operators on Sobolev spaces and Neumann eigenvalues

Cites Work

• Unnamed Item
• Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings
• A characterization of Hajłasz-Sobolev and Triebel-Lizorkin spaces via grand Littlewood-Paley functions
• Stability of Calderón's inverse conductivity problem in the plane for discontinuous conductivities
• Theory of function spaces
• Quasiconformal maps in metric spaces with controlled geometry
• Area distortion of quasiconformal mappings
• Stability of Calderón inverse conductivity problem in the plane
• Calderón's inverse conductivity problem in the plane
• Nonlinear Cauchy-Riemann operators in ℝⁿ
• Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces

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