Lipschitz-Type Spaces and Hardy Spaces on Some Classes of Complex-Valued Functions

被引：3

作者：

Chen, Shaolin ^{[1
]}

Ponnusamy, Saminathan ^{[2
]}

机构：

[1] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Hunan, Peoples R China

[2] ISI, Chennai Ctr, SETS, MGR Knowledge City, Madras 600113, Tamil Nadu, India

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2013年 / 77卷 / 02期

关键词：

Lipschitz-type space; elliptic PDE; hardy space; subharmonic; harmonic and k-quasiregular mappings; harmonic majorant; INTEGRAL MEANS; HOLOMORPHIC-FUNCTIONS; EQUIVALENT NORMS; MAPPINGS;

D O I：

10.1007/s00020-013-2084-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the properties on some classes of complex-valued functions which satisfy certain elliptic equations. First, we discuss the Lipschitz-type spaces and Hardy spaces on these functions, and then we show that for a class of complex-valued functions, if it admits some bounded Dirichlet-type energy integral, then it has a harmonic majorant in the unit disk.

引用

页码：261 / 278

页数：18

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