Multiplication Operator with BMO Symbols and Berezin Transform

We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.

Bibliographic Details
Main Authors: Xue Feng, Kan Zhang, Jianguo Dong, Xianmin Liu, Chi Guan
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/754646