| COLLECTIVELY COMPACT COMPOSITION OPERATOR SEQUENCES BETWEEN BERGMAN AND HARDY SPACES |
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| 作者姓名： | 王茂发 刘培德 |
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| 作者单位： | [1]SchoolofMathematicsandStatistics,WuhanUniversity,Wuhan430072,China [2]WuhanInstituteofPhysicsandMathematics,CAS,Wuhan430071,China |
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| 摘 要： | This paper studies the collective compactness of composition operator se-quences between the Bergman and Hardy spaces. Some sufficient and necessary conditionsinvolving the generalized Nevanlinna counting functions for composition operator sequencesto be collectively compact between weighted Bergman spaces are given.
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| 关 键 词： | 合成算子 聚合紧密性 Hardy空间 Bergman空间 |
| 收稿时间： | 16 April 2002 |
COLLECTIVELY COMPACT COMPOSITION OPERATOR SEQUENCES BETWEEN BERGMAN AND HARDY SPACES |
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| Wang Maofa.COLLECTIVELY COMPACT COMPOSITION OPERATOR SEQUENCES BETWEEN BERGMAN AND HARDY SPACES[J].Acta Mathematica Scientia,2004,24(2):206-212. |
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| Authors: | Wang Maofa |
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| Institution: | Wang Maofa~ |
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| Abstract: | This paper studies the collective compactness of composition operator sequences between the Bergman and Hardy spaces. Some sufficient and necessary conditions involving the generalized Nevanlinna counting functions for composition operator sequences to be collectively compact between weighted Bergman spaces are given. |
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| Keywords: | Bergman space Hardy space composition operator collectively compact operator sequence |
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