On the Nitsche conjecture for harmonic mappings in ℝ2 and ℝ3

被引：0
|
作者：
David Kalaj
机构：
[1] University of Montenegro,Faculty of Natural Sciences and Mathematics
来源：
Israel Journal of Mathematics | 2005年 / 150卷
关键词：
Harmonic Mapping; Quasiconformal Mapping; Ring Domain; Annular Region; Extremal Length;
D O I：
暂无
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学科分类号：
摘要：
We give the new inequality related to the J. C. C. Nitsche conjecture (see [6]). Moreover, we consider the two- and three-dimensional case. LetA(r, 1)={z:r<|z|<1}. Nitsche's conjecture states that if there exists a univalent harmonic mapping from an annulusA(r, 1), to an annulusA(s, 1), thens is at most 2r/(r2+1).
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页码：241 / 251
页数：10
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