QUASICONFORMAL HARMONIC MAPPINGS BETWEEN DOMAINS CONTAINING INFINITY

被引：1

作者：

Kalaj, David ^{[1
]}

机构：

[1] Univ Montenegro, Fac Nat Sci & Math, Cetinjski Put Bb, Podgorica 81000, Montenegro

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2020年 / 102卷 / 01期

关键词：

quasiconformal mappings; complement of the unit disk; quasi-isometry; BOUNDARY CORRESPONDENCE; MAPS;

D O I：

10.1017/S0004972719001278

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assume that Omega and D are two domains with compact smooth boundaries in the extended complex plane (C) over bar. We prove that every quasiconformal mapping between Omega and D mapping infinity onto itself is bi-Lipschitz continuous with respect to both the Euclidean and Riemannian metrics.

引用

页码：109 / 117

页数：9

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