| 加权调和Dirichlet空间上的紧Toeplitz算子 |
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| 引用本文： | 郑则铃,王晓峰.加权调和Dirichlet空间上的紧Toeplitz算子[J].广州大学学报(自然科学版),2011,10(6):14-18. |
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| 作者姓名： | 郑则铃 王晓峰 |
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| 作者单位： | 广州大学数学与信息科学学院,广东广州,510006 |
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| 摘 要： | 考虑了加权调和Dirichlet空间上有限个Toeplitz算子乘积的有限和，得出其为紧算子的充要条件：当z趋于单位圆盘边界时，其Berezin变换趋于0．
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| 关 键 词： | 加权调和Dirichlet空间 紧Toeplitz算子 Berezin变换 |
Compact Toeplitz operators on weighted harmonic Dirichlet space |
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| ZHENG Ze-ling,WANG Xiao-feng.Compact Toeplitz operators on weighted harmonic Dirichlet space[J].Journal og Guangzhou University:Natural Science Edition,2011,10(6):14-18. |
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| Authors: | ZHENG Ze-ling WANG Xiao-feng |
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| Institution: | (School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China) |
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| Abstract: | The compact of Toeplitz operator on function spaces has been concerned. And in this paper we investigate a finite sum of finite products of Toeplitz operator on weighted harmonic Dirichlet space of unit disk, an equivalence condition of compactness of it is when z→δD , its Berezin type transform tends to 0. |
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| Keywords: | weighted harmonic Dirichlet space compact Toeplitz operator Berezin type transform |
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