LIPSCHITZ SPACES AND HARMONIC MAPPINGS

被引：0
|
作者：
Kalaj, David [1 ]
机构：
[1] Univ Montenegro, Fac Nat Sci & Math, Podgorica 81000, Montenegro
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2009年 / 34卷 / 02期
关键词：
Quasiconformal harmonic maps; Jordan domains; Lipschitz condition; BOUNDARY CORRESPONDENCE; MAPS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In [11] the author proved that every quasiconformal harmonic mapping between two Jordan domains with C-1,C-alpha, 0 < alpha <= 1, boundary is bi-Lipschitz, providing that the domain is convex. In this paper we avoid the restriction of convexity. More precisely we prove: any quasiconformal harmonic mapping between two Jordan domains Omega(j), j = 1, 2, with C-j,C-alpha, j = 1, 2 boundary is bi-Lipschitz.
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页码：475 / 485
页数：11
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