Algebraic Properties of Toeplitz Operators on Cutoff Harmonic Bergman Space  

作　　者：Jingyu YANG Yufeng LU Huo TANG 

机构地区：[1]College of Mathematics and Computer Science,Chifeng University,Inner Mogolia 024000,P.R.China [2]School of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2020年第2期169-186,共18页数学研究及应用（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11761006);the Natural Science Foundation of Inner Mongolia Autonomous Region of China(Grant Nos.2017MS0113,2018MS01026);the Scientific Research Foundation of Higher School of Inner Mongolia Autonomous Region of China(Grant No.NJZY17300).

摘　　要：In this paper, we first investigate the finite-rank product problems of several Toeplitz operators with quasihomogeneous symbols on the cutoff harmonic Bergman space b_n^2. Next,we characterize finite rank commutators and semi-commutators of two Toeplitz operators with quasihomogeneous symbols on b_n^2.In this paper, we first investigate the finite-rank product problems of several Toeplitz operators with quasihomogeneous symbols on the cutoff harmonic Bergman space b_n^2. Next,we characterize finite rank commutators and semi-commutators of two Toeplitz operators with quasihomogeneous symbols on b_n^2.

关 键 词：TOEPLITZ operator CUTOFF HARMONIC BERGMAN space quasihomogeneous finite RANK 

分 类 号：O177[理学—数学]