Bull. Korean Math. Soc. 2015; 52(3): 751-759
Printed May 31, 2015
https://doi.org/10.4134/BKMS.2015.52.3.751
Copyright © The Korean Mathematical Society.
Zhong-Shan Fang and Ze-Hua Zhou
Tianjin Polytechnic University, Tianjin University
In this paper, we give new characterizations of the boundedness and compactness of composition operators $C_\varphi$ between Bloch type spaces in the unit ball $\mathbb{B}^n,$ in terms of the power of the components of $\varphi,$ where $\varphi$ is a holomorphic self-map of $\mathbb{B}^n.$
Keywords: composition operator, compactness, Bloch type spaces, unit ball, several complex variables
MSC numbers: Primary 47B38, 32A18; Secondary 47B33, 32A10, 32H02
2023; 60(4): 957-969
2020; 57(3): 583-595
2019; 56(2): 319-331
2018; 55(2): 507-514
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd