Lipschitz Estimates for Conformal Maps from the Unit Disk to Convex Domains

被引：0

作者：

Christopher G. Donohue

机构：

[1] Syracuse University,Department of Mathematics

来源：

Computational Methods and Function Theory | 2023年 / 23卷

关键词：

Conformal map; Hyperbolic metric; Kulkarni–Pinkall metric; Primary 30C35; Secondary 30C20; 30F45;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain an explicit uniform upper bound for the derivative of a conformal mapping of the unit disk onto a convex domain. This estimate depends only on the outer and inner radii of the domain, and on the minimum curvature radius of its boundary. Its proof is based on a Möbius invariant metric of hyperbolic type, introduced by Kulkarni and Pinkall (Math Z 216(1):89–129, 1994).

引用

页码：651 / 661

页数：10

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