Uniformization by square domains
Complex Variables
2016-06-02 v1
Abstract
We find an extremal problem for conformal maps on a finitely connected subregion of the Riemann sphere containing the point at infinity whose unique solution is a map onto a square domain, that is, a domain whose complementary components are (possibly degenerate) squares with sides parallel to the real or the imaginary axis.
Cite
@article{arxiv.1606.00349,
title = {Uniformization by square domains},
author = {Mario Bonk},
journal= {arXiv preprint arXiv:1606.00349},
year = {2016}
}