Capacity of rings and mappings generate embeddings of Sobolev spaces

Alexander Menovschikov, Alexander Ukhlov

Research output: Contribution to journalArticlepeer-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 languageAmerican English
Article number127826
JournalJournal of Mathematical Analysis and Applications
Volume531
Issue number1
DOIs
StatePublished - 1 Mar 2024

Keywords

  • Quasiconformal mappings
  • Sobolev spaces

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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