Composition operators on Bloch and Hardy type spaces

被引：0
|
作者：
Shaolin Chen
Hidetaka Hamada
Jian-Feng Zhu
机构：
[1] Hengyang Normal University,College of Mathematics and Statistics
[2] Hunan Provincial Key Laboratory of Intelligent Information Processing and Application,School of Mathematical Sciences
[3] Faculty of Science and Engineering,undefined
[4] Kyushu Sangyo University,undefined
[5] Huaqiao University,undefined
来源：
Mathematische Zeitschrift | 2022年 / 301卷
关键词：
Bloch type space; Complex-valued harmonic function; Composition operator; Hardy type space; Primary 31A05; 47B33; Secondary 30H10; 30H30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The main purpose of this paper is to discuss Hardy type spaces, Bloch type spaces and the composition operators of complex-valued harmonic functions. We first establish a sharp estimate of the Lipschitz continuity of complex-valued harmonic functions in Bloch type spaces with respect to the pseudo-hyperbolic metric, which gives an answer to an open problem. Then some classes of composition operators on Bloch and Hardy type spaces will be investigated. The obtained results improve and extend some corresponding known results.
引用
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页码：3939 / 3957
页数：18
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