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.
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页码：109 / 117
页数：9
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