Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418471 | Journal of Mathematical Analysis and Applications | 2014 | 20 Pages |
Abstract
In this paper, we study positive Toeplitz operators on the Bergman space via their Berezin transforms. Surprisingly we show that the positivity of a Toeplitz operator on the Bergman space is not completely determined by the positivity of the Berezin transform of its symbol. In fact, we show that even if the minimal value of the Berezin transform of a quadratic polynomial of |z| on the unit disk is positive, the Toeplitz operator with the function as the symbol may not be positive.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xianfeng Zhao, Dechao Zheng,