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

作　　者：秦杰 王晓峰[1] QIN Jie;WANG Xiao-Feng(School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学数学与信息科学学院,广州510006

出　　处：《四川大学学报（自然科学版）》2021年第3期31-37,共7页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(11971125)。

摘　　要：本文刻画了Fock-Sobolev空间F 2,m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.We characterize bounded ness of the product of Toeplitz and composition operators for two polynomials symbols on Fock-Sobolev spaces F 2,m.We also consider the commutativity of Toeplitz and composition operator and obtain several necessary and sufficient conditions.

关 键 词：Fock-Sobolev空间 复合算子 TOEPLITZ算子 

分 类 号：O177.1[理学—数学]