ON HARMONIC BLOCH SPACES IN THE UNIT BALL OF Cn

被引：13

作者：

Chen, Sh. ^{[1
]}

Wang, X. ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 84卷 / 01期

关键词：

harmonic Bloch space; little harmonic Bloch space; weighted Lipschitz function; characterization; MAPPINGS;

D O I：

10.1017/S0004972711002164

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, our main aim is to discuss the properties of harmonic mappings in the unit ball B-n. First, we characterize the harmonic Bloch spaces and the little harmonic Bloch spaces from B-n to C in terms of weighted Lipschitz functions. Then we prove the existence of a Landau-Bloch constant for a class of vector-valued harmonic Bloch mappings from B-n to C-n.

引用

页码：67 / 78

页数：12

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