On geometric characterizations of mappings generating composition operators on Sobolev spaces

Alexander Ukhlov

doi:10.1007/s10958-024-07171-4

On geometric characterizations of mappings generating composition operators on Sobolev spaces

Alexander Ukhlov

Department of Mathematics

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

Abstract

In this work, we consider refined geometric characterizations of mappings that generate bounded (p, q)-composition operators on Sobolev spaces. In the case n − 1 < q ≤ p < ∞, geometric characterizations in terms of metric and measure distortions are given with detailed proofs.

Original language	English
Journal	Journal of Mathematical Sciences
DOIs	https://doi.org/10.1007/s10958-024-07171-4
State	Accepted/In press - 1 Jan 2024

Keywords

Quasiconformal mappings
Sobolev spaces

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/s10958-024-07171-4

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title = "On geometric characterizations of mappings generating composition operators on Sobolev spaces",

abstract = "In this work, we consider refined geometric characterizations of mappings that generate bounded (p, q)-composition operators on Sobolev spaces. In the case n − 1 < q ≤ p < ∞, geometric characterizations in terms of metric and measure distortions are given with detailed proofs.",

keywords = "Quasiconformal mappings, Sobolev spaces",

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doi = "10.1007/s10958-024-07171-4",

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KW - Sobolev spaces

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On geometric characterizations of mappings generating composition operators on Sobolev spaces

Abstract

Keywords

ASJC Scopus subject areas

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