Composition operators on \(W^1X\) are necessarily induced by quasiconformal mappings

DOI10.2478/s11533-013-0392-8zbMath1306.46037OpenAlexW2046816527MaRDI QIDQ2248119

Luděk Kleprlík

Publication date: 30 June 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0392-8

zbMATH Keywords

Sobolev spacerearrangement invariant spacequasiconformal mappingscomposition operator

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear composition operators (47B33)

Related Items (2)

On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings

Cites Work

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