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

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)iθ=eisθφ0(r),且δ∈Z,δα(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)iθ=eisθφ0(r), and δ∈Z, δα(r)∈?α is a necessary condition for subnormal operator.