Compactness of Product Operators on the Bergman Space

Authors
Wang, Mao Fa Liu, Pei De
Citation
Wang, Mao Fa et Liu, Pei De, Compactness of Product Operators on the Bergman Space, Acta mathematica Sinica. English series (Print) , 21(4), 2005, pp. 723-732
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
21
Issue
4
Year of publication
2005
Pages
723 - 732
Database
ACNP
SICI code
Abstract
In this paper, we study the compactness of the product of a composition operator with another ones adjoint on the Bergman space. Some necessary and sufficient conditions for such operators to be compact are given.