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J. Korean Math. Soc. 2014; 51(1): 125-135
Printed January 1, 2014
https://doi.org/10.4134/JKMS.2014.51.1.125
Copyright © The Korean Mathematical Society.
Compact intertwining relations for composition operators between the weighted Bergman spaces and the weighted Bloch spaces
Ce-Zhong Tong and Ze-Hua Zhou
Hebei University of Technology, Tianjin University
We study the compact intertwining relations for composition operators, whose intertwining operators are Volterra type operators from the weighted Bergman spaces to the weighted Bloch spaces in the unit disk. As consequences, we find a new connection between the weighted Bergman spaces and little weighted Bloch spaces through this relations.
Keywords: composition operator, integral-type operator, Bloch space, Bergman space, intertwining relation, essential commutativity, universal set
MSC numbers: Primary 47B38; Secondary 47B33, 46E15, 30H30
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