Composition Operators on Sobolev Spaces and Q-Homeomorphisms

Alexander Menovschikov, Alexander Ukhlov

Research output: Contribution to journalArticlepeer-review

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 languageAmerican English
Pages (from-to)149-162
Number of pages14
JournalComputational Methods and Function Theory
Volume24
Issue number1
DOIs
StatePublished - 1 Jun 2023

Keywords

  • 30C65
  • 46E35
  • Quasiconformal mappings
  • Sobolev spaces

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Computational Theory and Mathematics

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