A note on Väisälä’s problem concerning free quasiconformal mappings

Qingshan Zhou, Yaxiang Li, Antti Rasila*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we provide partial solutions to a problem raised by Väisälä on local properties of free quasiconformal mappings. In particular, we show that a locally free quasiconformal mapping is a globally free quasiconformal mapping under the condition of locally relative quasisymmetry.

Original languageEnglish
JournalMonatshefte fur Mathematik
DOIs
StateAccepted/In press - 2021

Keywords

  • Free quasiconformal mapping
  • Quasihyperbolic metric
  • Quasisymmetric mapping

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