New York Journal of Mathematics
Volume 24 (2018), 611-629


Ce-Zhong Tong, Cheng Yuan, and Ze-Hua Zhou

Compact intertwining relations for composition operators on H and the Bloch space

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Published: September 1, 2018
Keywords: composition operator; Volterra operator; Bloch space; compact intertwining relation.
Subject: Primary: 47B38; Secondary: 47B33, 30H10, 47G10, 46E15, 32A36.

We study how certain Volterra type operators compactly intertwine with composition operators on the space of bounded analytic functions and composition operators on the Bloch space of the unit disk.


The work was supported by the National Natural Science Foundation of China (Grant Nos. 11301132, 11301373, 11771323, 11201331, 11171087).

Author information

Ce-Zhong Tong:
Department of Mathematics, Hebei University Technology, Tianjin 300401, P.R. China.

Cheng Yuan:
School of Applied Mathematics,Guangdong University of Technology, Guangdong 510520, P.R. China

Ze-Hua Zhou:
School of Mathematics,Tianjin University, Tianjin 300354, P.R. China.