| 单位球上多重调和Bergman空间上的k-拟齐次Toeplitz算子 |
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| 引用本文： | 代鑫,董兴堂,张莹莹.单位球上多重调和Bergman空间上的k-拟齐次Toeplitz算子[J].四川大学学报(自然科学版),2019,56(6):989-996. |
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| 作者姓名： | 代鑫 董兴堂 张莹莹 |
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| 作者单位： | 天津大学数学学院,天津大学数学学院,天津大学数学学院 |
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| 基金项目： | 国家自然科学基金(11201331; 11371276; 11771323) |
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| 摘 要： | 本文研究了单位球上多重调和 Bergman 空间上 k-拟齐次 Toeplitz 算子的基本性质，得到了其上两个该类算子所构成的交换子和半交换子的对称性质. 此外, 本文还得到了其上两个单项式形 Toeplitz 算子构成的交换子和半交换子有有限秩的充分必要条件.
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| 关 键 词： | Toeplitz算子 多重调和Bergman空间 k-拟齐次函数 |
| 收稿时间： | 2018/12/14 0:00:00 |
| 修稿时间： | 2019/2/28 0:00:00 |
k-quasi-homogeneous Toeplitz operators on pluriharmonic Bergman space of the unit ball |
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| DAI Xin,DONG Xing-Tang and ZHANG Ying-Ying.k-quasi-homogeneous Toeplitz operators on pluriharmonic Bergman space of the unit ball[J].Journal of Sichuan University (Natural Science Edition),2019,56(6):989-996. |
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| Authors: | DAI Xin DONG Xing-Tang and ZHANG Ying-Ying |
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| Institution: | School of Mathematics, Tianjin University,School of Mathematics, Tianjin University and School of Mathematics, Tianjin University |
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| Abstract: | In this paper, we study some basic properties of k-quasi-homogeneous Toeplitz operators on the pluriharmonic Bergman space of the unit ball, and obtain the symmetric properties of the commutator and semi-commutator consisting of two such operators. In addition, we obtain the sufficient and necessary conditions for the finite rank of commutator and semi-commutator of two monomial-type Toeplitz operators. |
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| Keywords: | Toeplitz operator Pluriharmonic Bergman space k-quasi-homogeneous function |
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