| 加权Bergman空间上Toeplitz算子的紧性及其Berizin变换 |
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| 引用本文： | 颜敬先,余大海.加权Bergman空间上Toeplitz算子的紧性及其Berizin变换[J].四川大学学报(自然科学版),1999,36(2):211-219. |
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| 作者姓名： | 颜敬先 余大海 |
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| 作者单位： | [1]重庆师范专科学校 [2]四川大学数学学院 |
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| 摘 要： | 讨论了加权Ｂｅｒｇｍａｎ空间上Ｔｏｅｐｌｉｔｚ算子紧性与其Ｂｅｒｉｚｉｎ变换之间的关系，完全推广了已有的结果。
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| 关 键 词： | Bergman空间 Toeplitz算子 Berizin变换 紧性 |
THE COMPACTNESS OF A TOEPLITZ OPERATOR AND ITS BERIZIN TRANSFORM ON THE WEIGHTED BERGMAN SPACE |
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| YAN Jing xian ,YU Da hai.THE COMPACTNESS OF A TOEPLITZ OPERATOR AND ITS BERIZIN TRANSFORM ON THE WEIGHTED BERGMAN SPACE[J].Journal of Sichuan University (Natural Science Edition),1999,36(2):211-219. |
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| Authors: | YAN Jing xian YU Da hai |
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| Institution: | YAN Jing xian 1,YU Da hai 2 |
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| Abstract: | The authors discussed the compactness of a Toeplitz operator on the weighted Bergman space via its Berizin transform,generallized known result. |
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| Keywords: | weighted Bergman space Toeplitz operator compact operator Berizin transform |
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