加权Bergman空间上的紧Toeplitz和Hankel算子积(英文)

Compact Products of Hankel and Toeplitz Operators on Weighted Bergman Space

主要考察一类加权Bergman空间上的紧算子,得到了当f,g是解析函数时,Toeplitz和Hankel算子的积TfαHgα,*是紧算子的充分必要条件.

In this paper, we give a sufficient and necessary condition that the products of Toeplits and Hankel operators Tf^αg^α,＊ , for analytic functionsf, g is compact on the weighted Bergman space L^2（D,（1,α）（1-｜z｜^2）αdA（z））.