Dirichlet空间上Toeplitz乘积的有界性

The boundedness of Toeplitz products on the Dirichlet space

对于Dirichlet空间中的函数f和g,应用Berezin变换,研究Dirichlet空间上Toeplitz乘积TfTg的有界性,分别给出TfTg在Dirichlet空间上有界的充分条件和必要条件.

It was considered the boundedness of Toeplitz products TfTg which was densely defined on the Dirichlet space with the symbol functions f and g in the Dirichlet space. By the Berezin transformation, a suffi- cient condition and a necessary condition for the oroducts TfTg to be bounded were obtained respectively.