Algebraic Properties of Toeplitz Operators on Cutoff Harmonic Bergman Space
Received:December 30, 2019  Revised:February 20, 2020
Key Word: Toeplitz operator   Cutoff Harmonic Bergman space   quasihomogeneous   finite rank  
Fund ProjectL: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) and the Scientific Research Foundation of Higher School of Inner Mongolia Autonomous Region of China (Grant No.NJZY17300).
Author NameAffiliation
Jingyu YANG College of Mathematics and Computer Science, Chifeng University, Inner Mogolia 024000, P. R. China
School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Yufeng LU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Huo TANG College of Mathematics and Computer Science, Chifeng University, Inner Mogolia 024000, P. R. China 
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Abstract:
      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 $b_{n}^{2}$.
Citation:
DOI:10.3770/j.issn:2095-2651.2020.02.006
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