Commutant of Analytic Toeplitz Operators on the Bergman Space

In this paper, we characterize the commutant of Toeplitz operators on weighted Bergman space with symbol polynomial by using algebraic curves theory.

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2010-12, Vol.26 (12), p.2255-2258
Main Authors: Jiang, Jia Yi, Di Xu, Sheng
Format: Article
Language:English
Subjects:
Algebra
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Operators
Polynomials
Studies
Symbols
Theorems
代数曲线
加权Bergman空间
多项式
换位子
解析Toeplitz算子
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Description
Summary:In this paper, we characterize the commutant of Toeplitz operators on weighted Bergman space with symbol polynomial by using algebraic curves theory.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-010-0116-y