On the boundary behavior of weak (p; q)-quasiconformal mappings

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3 Scopus citations

Abstract

Let Ω and Ω ˜ be domains in the Euclidean space ℝn. We study the boundary behavior of weak (p, q)-quasiconformal mappings φ : Ω → Ω ˜ , n – 1 < q ≤ p < n. The suggested method is based on the capacitary distortion properties of the weak (p, q)-quasiconformal mappings.

Original languageEnglish
Pages (from-to)420-427
Number of pages8
JournalJournal of Mathematical Sciences
Volume270
Issue number3
DOIs
StatePublished - 1 Feb 2023

Keywords

  • Quasiconformal mappings
  • Sobolev spaces

ASJC Scopus subject areas

  • Statistics and Probability
  • General Mathematics
  • Applied Mathematics

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