English

A note on V\"ais\"al\"a's problem concerning free quasiconformal mappings

Complex Variables 2020-11-18 v1 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.2011.08599,
  title  = {A note on V\"ais\"al\"a's problem concerning free quasiconformal mappings},
  author = {Qingshan Zhou and Yaxiang Li and Antti Rasila},
  journal= {arXiv preprint arXiv:2011.08599},
  year   = {2020}
}

Comments

9 pages

R2 v1 2026-06-23T20:18:47.946Z