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

1 Scopus citations


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
Pages (from-to)607-616
Number of pages10
JournalMonatshefte fur Mathematik
Issue number3
StatePublished - Nov 2021


  • Free quasiconformal mapping
  • Quasihyperbolic metric
  • Quasisymmetric mapping


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