Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings

Alexander Menovschikov, Alexander Ukhlov

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper, we consider composition operators on Hardy-Sobolev spaces in connections with BMO-quasiconformal mappings. Using the duality of Hardy spaces and BMO-spaces, we prove that BMO-quasiconformal mappings generate bounded composition operators from Hardy–Sobolev spaces to Sobolev spaces.

Original languageEnglish
Pages (from-to)313-325
Number of pages13
JournalJournal of Mathematical Sciences
Volume258
Issue number3
DOIs
StatePublished - 1 Oct 2021

Keywords

  • Quasiconformal mappings
  • Sobolev spaces

ASJC Scopus subject areas

  • Statistics and Probability
  • General Mathematics
  • Applied Mathematics

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