Toeplitz Products on Bergman–Sobolev Spaces over the Unit Polydisk  

作　　者：Li HE 

机构地区：[1]School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2021年第9期1349-1366,共18页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11871170);the open project of Key Laboratory,School of Mathematical Sciences,Chongqing Normal University(Grant No.CSSXKFKTM202002)。

摘　　要：In this paper,we characterize the compactness and Fredholmness of Toeplitz operators and Toeplitz products on Bergman-Sobolev spaces over the unit polydisk.We also calculate the essential norm of finite sums of finite Toeplitz products on these spaces.

关 键 词：Bergman–Sobolev space Toeplitz products compactness essential norm FREDHOLMNESS 

分 类 号：O177[理学—数学]