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
摘要:
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T
φ2，其中φ(re)
iθ=e
isθφ
0(r)，且δ∈Z，δ<0，φ
α(r)∈ℜ
α为亚正规算子的一个必要条件。
Abstract:
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)iθ=eisθφ0(r), and δ∈Z, δ<0; φα(r)∈ℜα is a necessary condition for subnormal operator.
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