Algebraic Properties of Toeplitz Operators on the Harmonic Bergman Space |
Received:October 24, 2015 Revised:March 09, 2016 |
Key Words:
Toeplitz operator Harmonic Bergman space quasihomogeneous commutator finite rank
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Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11271059; 11301047) and the Scientific Research Found of Higher School of Inner Mongolia (Grant No.NJZY 13298). |
Author Name | Affiliation | Jingyu YANG | School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China Department of Mathematics, Dalian University of Technology, Liaoning 116024, P. R. China | Yufeng LU | Department of Mathematics, Dalian University of Technology, Liaoning 116024, P. R. China | Xiaoying WANG | School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China |
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Abstract: |
In this paper, we first investigate the finite-rank product problem of several Toeplitz operators with quasihomogeneous symbols on the harmonic Bergman space. Next, we characterize finite rank commutators and semi-commutators of two Toeplitz operators with quasihomogeneous symbols. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2016.04.012 |
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