Composition operators on Bloch and Hardy type spaces
Complex Variables
2022-07-11 v1
Abstract
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.
Cite
@article{arxiv.2207.03788,
title = {Composition operators on Bloch and Hardy type spaces},
author = {Shaolin Chen and Hidetaka Hamada and Jian-Feng Zhu},
journal= {arXiv preprint arXiv:2207.03788},
year = {2022}
}
Comments
20 pages, To appear in Math. Z