Dual Toeplitz Operators on the Unit Ball
Received:April 06, 2017  Revised:September 15, 2017
Key Word: Dual Toeplitz operators   unit ball   compactness   spectrum   quasinormal  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.11501075; 11271059), the Natural Science Foundation of Liaoning Education Department (Grant No.L2015084) and the Natural Science Foundation of Guangxi Education Department (Grant No.KY2015LX518).
Author NameAffiliation
Zhitao YANG Department of Mathematics, Dalian University of Technology, Liaoning 116024, P. R. China; Department of Mathematics and Computer Science, Qinzhou University, Guangxi 535000, P. R. China 
Bo ZHANG Department of Mathematics, Dalian University of Technology, Liaoning 116024, P. R. China; College of Science, Dalian Ocean University, Liaoning 116024, P. R. China 
Yufeng LU Department of Mathematics, Dalian University of Technology, Liaoning 116024, P. R. China 
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Abstract:
      In this paper, we study some properties of dual Toeplitz operators on the orthogonal complement of Bergman space of the unit ball. We first completely characterize the boundedness and compactness of dual Toeplitz operators. Then we obtain spectral properties of dual Toeplitz operators. Finally, we show that there are no quasinormal dual Toeplitz operators with bounded holomorphic or anti-holomorphic symbols.
Citation:
DOI:10.3770/j.issn:2095-2651.2017.06.007
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