Composition Operators on Sobolev Spaces and Q-Homeomorphisms

Alexander Menovschikov; Alexander Ukhlov

doi:10.1007/s40315-023-00484-6

Composition Operators on Sobolev Spaces and Q-Homeomorphisms

Alexander Menovschikov, Alexander Ukhlov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. Based on this, we obtain measure distortion properties of Q-homeomorphisms.

Original language	English
Pages (from-to)	149-162
Number of pages	14
Journal	Computational Methods and Function Theory
Volume	24
Issue number	1
DOIs	https://doi.org/10.1007/s40315-023-00484-6
State	Published - 1 Jun 2023

Keywords

30C65
46E35
Quasiconformal mappings
Sobolev spaces

ASJC Scopus subject areas

Analysis
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s40315-023-00484-6

Cite this

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title = "Composition Operators on Sobolev Spaces and Q-Homeomorphisms",

abstract = "In this paper, we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. Based on this, we obtain measure distortion properties of Q-homeomorphisms.",

keywords = "30C65, 46E35, Quasiconformal mappings, Sobolev spaces",

author = "Alexander Menovschikov and Alexander Ukhlov",

note = "Funding Information: A. Menovschikov was supported by the grant GA{\v C}R 20-19018Y. Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

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AU - Ukhlov, Alexander

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N2 - In this paper, we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. Based on this, we obtain measure distortion properties of Q-homeomorphisms.

AB - In this paper, we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. Based on this, we obtain measure distortion properties of Q-homeomorphisms.

KW - 30C65

KW - 46E35

KW - Quasiconformal mappings

KW - Sobolev spaces

UR - https://www.scopus.com/pages/publications/85160830144

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DO - 10.1007/s40315-023-00484-6

M3 - Article

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Composition Operators on Sobolev Spaces and Q-Homeomorphisms

Abstract

Keywords

ASJC Scopus subject areas

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