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| Hyponormal Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space | |
| 作者姓名： | Chong Chao WANG Xian Feng ZHAO |
| 作者单位： | 1. College of Mathematics and Physics, Wenzhou University;2. College of Mathematics and Statistics, Chongqing University |
| 基金项目： | Partially supported by NSFC (Grant No. 11701052)；;the second author was partially supported by the Fundamental Research Funds for the Central Universities (Grant Nos. 2020CDJQY-A039 and 2020CDJ-LHSS-003)； |
| 摘 要： | In this paper, we mainly study the hyponormality of dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space. First we show that the dual Toeplitz operator with the bounded symbol is hyponormal if and only if it is normal. Then we obtain a necessary and sufficient condition for the dual Toeplitz operator ■ with the symbol ■ to be hyponormal. Finally, we show that the rank of the commutator of two dual Toeplitz operators must be an even number if the commutator has a fin... |
Hyponormal Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space |
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| Chong Chao WANG,Xian Feng ZHAO.Hyponormal Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space[J].Acta Mathematica Sinica,2023,39(5):846-862. | |
| Authors: | Wang Chong Chao Zhao Xian Feng |
| Institution: | 1.College of Mathematics and Physics, Wenzhou University, Wenzhou, 325035, P. R. China ;2.College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P. R. China ; |
| Abstract: | Acta Mathematica Sinica, English Series - In this paper, we mainly study the hyponormality of dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space. First we show that... |
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