Landau-Bloch Constants for Functions in α-Bloch Spaces and Hardy Spaces

被引：11

作者：

Chen, Sh ^{[2
]}

Ponnusamy, S. ^{[1
]}

Wang, X. ^{[2
]}

机构：

[1] Indian Inst Technol, Dept Math, Chennai 600036, Tamil Nadu, India

[2] Hunan Normal Univ, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Minist Educ, Changsha 410081, Hunan, Peoples R China

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2012年 / 6卷 / 05期

关键词：

Landau-Bloch constant; Holomorphic function; alpha-Bloch space; Hardy space; DISTORTION-THEOREMS; OPERATORS;

D O I：

10.1007/s11785-012-0217-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain a sharp distortion theorem for a class of functions in alpha-Bloch spaces, and as an application of it, we establish the corresponding Landau's theorem. These results generalize the corresponding results of Bonk, Minda and Yanagihara, and Liu, respectively. We also prove the existence of Landau-Bloch constant for a class of functions in Hardy spaces and the obtained result is a generalization of the corresponding result of Chen and Gauthier.

引用

页码：1025 / 1036

页数：12

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