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  
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 NameAffiliation
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 
Hits: 2514
Download times: 1726
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
View Full Text  View/Add Comment