关于Toeplitz算子与复合算子在Fock-Sobolev空间上的乘积

On the product of Toeplitz and composition operators on Fock-Sobolev spaces

摘要:

本文刻画了Fock-Sobolev空间上以多项式为符号的Toepliz算子与复合算子的乘积的有界性，讨论了Toepliz算子与复合算子的交换性, 得到了一些充分必要条件.

Abstract:

We characterize the boundedness of the product of Toeplitz and composition operators for two polynomials symbols on Fock-Sobolev spaces. We also consider the commutativity of Toeplitz and composition operator, and obtain several necessary and sufficient conditions.