| Algebraic Properties of Toeplitz Operators on Cutoff Harmonic Bergman Space |
| Received:December 30, 2019 Revised:February 20, 2020 |
| Key Words:
Toeplitz operator Cutoff Harmonic Bergman space quasihomogeneous finite rank
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| Fund Project: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 Name | Affiliation | | 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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