Harmonic mappings and distance function
Complex Variables
2012-02-21 v1
Abstract
We prove the following theorem: every quasiconformal harmonic mapping between two plane domains with (), respectively compact boundary is bi-Lipschitz. The distance function with respect to the boundary of the image domain is used. This in turn extends a similar result of the author in \cite{kalajan} for Jordan domains, where stronger boundary conditions for the image domain were needed.
Cite
@article{arxiv.1011.3012,
title = {Harmonic mappings and distance function},
author = {David Kalaj},
journal= {arXiv preprint arXiv:1011.3012},
year = {2012}
}
Comments
10 pages, to appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze