(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).

引用

页数：11

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