| 多重调和Bergman空间上径向Toeplitz算子的交换性 |
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| 引用本文： | 杨君. 多重调和Bergman空间上径向Toeplitz算子的交换性[J]. 数学研究及应用, 2015, 35(1): 110-118 |
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| 作者姓名： | 杨君 |
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| 作者单位： | 上海海事大学数学系, 上海 201306 |
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| 基金项目： | 上海市教委科研创新项目(Grant No.13YZ090). |
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| 摘 要： | In this paper, we study the commutativity of Toeplitz operators with radial symbols on the pluriharmonic Bergman space. We obtain the necessary and sufficient conditions for the commutativity of bounded Toeplitz operator and Toeplitz operator with radial symbol on the pluriharmonic Bergman space.
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| 关 键 词： | pluriharmonic Bergman space radial symbols Toeplitz operators commutants unit ball |
| 收稿时间： | 2014-09-05 |
| 修稿时间： | 2014-10-13 |
The Commutants of the Toeplitz Operators with Radial Symbols on the Pluriharmonic Bergman Space |
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| Jun YANG. The Commutants of the Toeplitz Operators with Radial Symbols on the Pluriharmonic Bergman Space[J]. Journal of Mathematical Research with Applications, 2015, 35(1): 110-118 |
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| Authors: | Jun YANG |
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| Affiliation: | Department of Mathematics, Shanghai Maritime University, Shanghai 201306, P. R. China |
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| Abstract: | In this paper, we study the commutativity of Toeplitz operators with radial symbols on the pluriharmonic Bergman space. We obtain the necessary and sufficient conditions for the commutativity of bounded Toeplitz operator and Toeplitz operator with radial symbol on the pluriharmonic Bergman space. |
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| Keywords: | pluriharmonic Bergman space radial symbols Toeplitz operators commutants unit ball |
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