| 截断调和Bergman空间上的Toeplitz算子 |
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| 引用本文： | 丁宣浩.截断调和Bergman空间上的Toeplitz算子[J].数学年刊A辑(中文版),2013,34(1):81-86. |
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| 作者姓名： | 丁宣浩 |
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| 作者单位： | 重庆工商大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金(No.10871217)的资助 |
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| 摘 要： | 截断调和Bergman空间b_n~2=L_a~2{w,w~2,…,w~n}~v是Hilbert空间L~2的闭子空间.研究了单位圆盘上的截断调和Bergman空间上的Toeplitz算子的乘积问题,完整地刻画了具有有界调和符号的两个Toeplitz算子的有限秩与紧的半换位子或换位子.
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| 关 键 词： | 截断调和Bergman空间 Toeplitz算子 换位子 |
Toeplitz Operators on the Cutoff Harmonic Bergman Space |
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| DING Xuanhao.Toeplitz Operators on the Cutoff Harmonic Bergman Space[J].Chinese Annals of Mathematics,2013,34(1):81-86. |
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| Authors: | DING Xuanhao |
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| Institution: | DING Xuanhao1 1 College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China. |
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| Abstract: | The cutoff harmonic Bergman space $b^{2}_{n},$ defined by $b^{2}_{n}=L^{2}_{a}\oplus \{\ov{w},\ov{w}^{2},\cdots,\ov{w}^{n}\}^{\vee},$ is a closed subspace of the Hilbert space$L^{2}$. The author studies the product problem of Toeplitz operators on the cutoff harmonic Bergman space on the unit disk, and completely characterizes the finite rank and the compact semi-commutator or the commutator of two Toeplitz operators with bounded harmonic symbols. |
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| Keywords: | Cutoff harmonic Bergman space Toeplitz |
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