(m,λ)-Berezin Transform on the Weighted Bergman Spaces over the Polydisk

被引：0
|
作者：
Li, Ran [1 ]
Lu, Yufeng [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2016年 / 2016卷
关键词：
M-BEREZIN TRANSFORM; OPERATORS; APPROXIMATION; ALGEBRAS;
D O I：
10.1155/2016/6804235
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that every bounded linear operator on weighted Bergman space over the polydisk can be approximated by Toeplitz operators under some conditions. The main tool here is the so-called (m,lambda)-Berezin transform. In particular, our results generalized the results of K. Nam and D.C. Zheng to the case of operators acting on A(lambda)(2) (D-n).
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页数：11
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