Zero Products and Finite Rank of Toeplitz Operators on the Harmonic Bergman Space
Received:February 28, 2017  Revised:March 15, 2017
Key Word: Toeplitz operator   finite rank   harmonic Bergman space  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11671065).
Author NameAffiliation
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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