On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces

被引：30

作者：

Chen, Shaolin ^{[1
]}

Ponnusamy, Saminathan ^{[2
]}

Rasila, Antti ^{[3
]}

机构：

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

[2] Chennai Ctr SETS, Indian Stat Inst, MGR Knowledge City, Madras 600113, Tamil Nadu, India

[3] Aalto Univ, Dept Math & Syst Anal, Aalto 00076, Finland

来源：

MATHEMATISCHE ZEITSCHRIFT | 2015年 / 279卷 / 1-2期

基金：

芬兰科学院; 中国国家自然科学基金;

关键词：

Majorant; Bloch space; Hardy space; Lipschitz space; EQUIVALENT NORMS; INTEGRAL MEANS; THEOREM;

D O I：

10.1007/s00209-014-1361-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish a Bloch-type growth theorem for generalized Bloch-type spaces and discuss relationships between Dirichlet-type spaces and Hardy-type spaces on certain classes of complex-valued functions. Then we present some applications to non-homogeneous Yukawa PDEs. We also consider some properties of the Lipschitz-type spaces on certain classes of complex-valued functions. Finally, we will study a class of composition operators on these spaces.

引用

页码：163 / 183

页数：21

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