| 加权Bergman空间上的Toeplitz算子和Hankel算子 |
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| 引用本文： | 刘永民. 加权Bergman空间上的Toeplitz算子和Hankel算子[J]. 数学杂志, 1997, 17(4): 477-481 |
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| 作者姓名： | 刘永民 |
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| 作者单位： | 徐州师范大学 |
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| 基金项目： | 江苏省教委自然科学基金 |
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| 摘 要： | 西方给出了Ｃ＾ｎ中单位球上的带权的Ｂｅｒｇｍａｎ空间上具一般符号的Ｔｏｅｐｌｉｔｚ算子和Ｈａｎｋｅｌ算子为紧的充要条件。
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| 关 键 词： | Bergman空间 Toeplitz算子 Hankel算子 紧算子 |
COMPACT TOEPLITZ AND HANKEL OPERATORS ON WEIGHTED BERGMAN SPACES |
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| Liu Yongmin. COMPACT TOEPLITZ AND HANKEL OPERATORS ON WEIGHTED BERGMAN SPACES[J]. Journal of Mathematics, 1997, 17(4): 477-481 |
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| Authors: | Liu Yongmin |
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| Abstract: | In this note we consider Toeplitz and Hankel operators on weighted Bergman spaces on the unit ball in several complex variables whose symbols are not necessarily bounded measurable functions.we give a necessary and sufficient condition on the symbols for these operators to be compact. |
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| Keywords: | weighted bergman space Toeplitz operator Hankel operator compact operator. |
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