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加权Bergman空间上Toeplitz算子的乘积的有限和问题
The Finite Sum Problem of the Product of Toeplitz Operators on Weighted Bergman Spaces

DOI: 10.12677/PM.2020.105059, PP. 488-492

Keywords: 加权Bergman空间,Toeplitz算子,亚正规,Mellin变换
Weighted Bergman Space
, Toeplitz Operator, Subnormal, Mellin Transform

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Abstract:

函数空间算子理论一直是泛函分析研究中的一个重要分支之一。本文研究了加权Bergman空间上Toeplitz算子Tφ2,其中φ(re)=eisθφ0(r),且δ∈Z,δ<0,φα(r)∈?α为亚正规算子的一个必要条件。
Function space operator theory has always been one of the important branches in functional analysis research. This paper studies Toeplitz operator in weighted Bergman space Tφ2, in which φ(re)=eisθφ0(r), and δ∈Z, δ<0; φα(r)∈?α is a necessary condition for subnormal operator.

References

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