Composition operators on Bloch and Hardy type spaces
Composition operators on Bloch and Hardy type spaces
复制标题
DOI：
10.1007/s00209-022-03046-z
复制
发表时间：
2022-05
影响因子：
0.8
通讯作者：
Shaolin Chen;H. Hamada;Jian-Feng Zhu
中科院分区：
文献类型：
--
作者：
Shaolin Chen;H. Hamada;Jian-Feng Zhu
本文的主要目的是讨论复值调和函数的Hardy型空间、Bloch型空间和复合算子。本文首先建立了Bloch型空间中复值调和函数关于伪双曲度规的Lipschitz连续性的尖锐估计，给出了一个开放问题的答案。然后研究了Bloch和Hardy类型空间上的几种复合算子。所得结果改进和推广了一些相应的已知结果。
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.