| Zero Products and Finite Rank of Toeplitz Operators on the Harmonic Bergman Space |
| Received:February 28, 2017 Revised:March 15, 2017 |
| Key Words:
Toeplitz operator finite rank harmonic Bergman space
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11671065). |
| Author Name | Affiliation | | Qian DING | School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China | | Yinyin HU | Department of Mathematics, Dalian Maritime University, Liaoning 116023, P. R. China | | Liu LIU | 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 |
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| Abstract: |
| We study zero product problem and finite rank of the Brown-Halmos type results involving products of Toeplitz operators acting on the harmonic Bergman space. We use the Berezin transform and invariant Laplacian in this paper. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2017.03.010 |
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