Capacity of rings and mappings generate embeddings of Sobolev spaces

Alexander Menovschikov; Alexander Ukhlov

doi:10.1016/j.jmaa.2023.127826

Capacity of rings and mappings generate embeddings of Sobolev spaces

Alexander Menovschikov, Alexander Ukhlov

Department of Mathematics

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

Abstract

In this paper we give characterizations of mappings generate embeddings of Sobolev spaces in the terms of ring capacity inequalities. In addition we prove that such mappings are Lipschitz mappings in the sub-hyperbolic type capacitary metrics.

Original language	English
Article number	127826
Journal	Journal of Mathematical Analysis and Applications
Volume	531
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2023.127826
State	Published - 1 Mar 2024

Keywords

Quasiconformal mappings
Sobolev spaces

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2023.127826

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title = "Capacity of rings and mappings generate embeddings of Sobolev spaces",

abstract = "In this paper we give characterizations of mappings generate embeddings of Sobolev spaces in the terms of ring capacity inequalities. In addition we prove that such mappings are Lipschitz mappings in the sub-hyperbolic type capacitary metrics.",

keywords = "Quasiconformal mappings, Sobolev spaces",

author = "Alexander Menovschikov and Alexander Ukhlov",

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year = "2024",

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AU - Ukhlov, Alexander

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AB - In this paper we give characterizations of mappings generate embeddings of Sobolev spaces in the terms of ring capacity inequalities. In addition we prove that such mappings are Lipschitz mappings in the sub-hyperbolic type capacitary metrics.

KW - Quasiconformal mappings

KW - Sobolev spaces

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Capacity of rings and mappings generate embeddings of Sobolev spaces

Abstract

Keywords

ASJC Scopus subject areas

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