A note on weighted composition operators on the weighted Bergman space

Authors
Zhao, Lian Kuo Hou, Sheng Zhao
Citation
Zhao, Lian Kuo et Hou, Sheng Zhao, A note on weighted composition operators on the weighted Bergman space, Acta mathematica Sinica. English series (Print) , 31(6), 2015, pp. 947-952
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
6
Year of publication
2015
Pages
947 - 952
Database
ACNP
SICI code
Abstract
This paper gives a note on weighted composition operators on the weighted Bergman space, which shows that for a fixed composition symbol, the weighted composition operators are bounded on the weighted Bergman space only with bounded weighted symbols if and only if the composition symbol is a finite Blaschke product.