Positive Operator-valued Toeplitz Operators on Vector-valued Exponential Weighted Bergman Spaces
We study some properties of Toeplitz operators with positive operator-valued function symbols on the vector-valued exponential weighted Bergman spaces Apφ(H)(1＜p＜∞).Firstly,we discuss when the Bergman projection from Lpφ(H).nto Apφ(H)is bounded and get the dual of the vector-valued exponential weighted Bergman spaces.Secondly,we obtain several equivalent descriptions of Carleson condition to characterize the boundedness and compactness of Toeplitz operators on Apφ(H).Finally,we consider the Schatten-p class membership of Toeplitz operators acting on A2φ(H).
Toeplitz operatorsexponential weighted Bergman spaceoperator-valued symbolCarleson conditionsSchatten-p class
万方数据
维普
