Koebe uniformization of nondegenerate domains with bounded gap-ratio

Yi Zhong

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arXiv · 2408.03484

Koebe uniformization of nondegenerate domains with bounded gap-ratio

Yi Zhong

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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.

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Yi Zhong. 2024-08-07. Koebe uniformization of nondegenerate domains with bounded gap-ratio. https://arxiv.org/abs/2408.03484

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