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

Ben-Gurion University of the Negev

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	American English
Pages (from-to)	93-109
Number of pages	17
Journal	Journal of Mathematical Sciences
Volume	282
Issue number	1
DOIs	https://doi.org/10.1007/s10958-024-07171-4
State	Published - 1 Jun 2024

Keywords

Quasiconformal mappings
Sobolev spaces

All Science Journal Classification (ASJC) codes

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/s10958-024-07171-4

Cite this

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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.",

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On geometric characterizations of mappings generating composition operators on Sobolev spaces

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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