paper

A note on quasiconformal maps with Holder-continuous dilatation

arXiv:1302.3899

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.

13 pages, 2 figures

References in corpus (1)