Koebe uniformization of nondegenerate domains with bounded gap-ratio

Published 7 Aug 2024 in math.CV | (2408.03484v1)

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

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