English

A note on quasiconformal maps with Holder-continuous dilatation

Complex Variables 2013-02-19 v1

Abstract

Here we give an alternate proof of a sufficient condition due to J. Mateu, J. Orobitg, and J. Verdera for a quasiconformal map of the plane with dilatation supported in a smooth domain to be bi-Lipschitz. We also extend this theorem to cover boundaries with certain types of corners.

Keywords

Cite

@article{arxiv.1302.3899,
  title  = {A note on quasiconformal maps with Holder-continuous dilatation},
  author = {James T. Gill and Steffen Rohde},
  journal= {arXiv preprint arXiv:1302.3899},
  year   = {2013}
}

Comments

13 pages, 2 figures

R2 v1 2026-06-21T23:27:13.995Z