Koebe uniformization of nondegenerate domains with bounded gap-ratio
Complex Variables
2024-08-08 v1
Abstract
Koebe uniformization is a fundemental problem in complex analysis. In this paper, we use transboundary extremal length to show that every nondegenerate and uncountably connected domain with bounded gap-ratio is conformally homeomorphic to a circle domain.
Cite
@article{arxiv.2408.03484,
title = {Koebe uniformization of nondegenerate domains with bounded gap-ratio},
author = {Yi Zhong},
journal= {arXiv preprint arXiv:2408.03484},
year = {2024}
}