Koebe uniformization of nondegenerate domains with bounded gap-ratios

Proceedings of the American Mathematical Society 2026

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Authors: Yi Zhong
DOI: 10.1090/proc/17564
Cited by: 0
References: 21

Abstract

Koebe uniformization is a fundemental problem in complex analysis. In this paper, we use the transboundary extremal length to show that every nondegenerate and uncountably connected domain with a bounded gap-ratio is conformally equivalent to a circle domain.

Fields of Study & Subjects

Analytic and geometric function theory Holomorphic and Operator Theory Mathematical Dynamics and Fractals

Publication details

Journal / source
Proceedings of the American Mathematical Society
Volume
154
Issue
4
Pages
1685–1699
Publication date
14 January 2026
Language
EN