| Dual Toeplitz Operators on the Unit Ball |
| Received:April 06, 2017 Revised:September 15, 2017 |
| Key Words:
Dual Toeplitz operators unit ball compactness spectrum quasinormal
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| Fund Project: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 Name | Affiliation | | 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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