| Boundedness from below of composition operators on the Bloch spaces |
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| 引用本文： | 陈怀惠. Boundedness from below of composition operators on the Bloch spaces[J]. 中国科学A辑(英文版), 2003, 46(6): 838-846. DOI: 10.1360/02ys0212 |
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| 作者姓名： | 陈怀惠 |
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| 作者单位： | Department of |
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| 摘 要： | This paper proves that a necessary condition for a composition operator on the Bloch space of the unit disk to be bounded below given by Ghatage, Yan and Zheng is also sufficient. Given furthermore are a sufficient condition and a necessary condition of the boundedness from below for a composition operator on the Bloch space of a unit ball with dimensions bigger than one.
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Boundedness from below of composition operators on the bloch spaces |
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| Huaihui Chen. Boundedness from below of composition operators on the bloch spaces[J]. Science in China(Mathematics), 2003, 46(6): 838-846. DOI: 10.1360/02ys0212 |
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| Authors: | Huaihui Chen |
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| Affiliation: | Department of Mathematics, Nanjing Normal University, Nanjing 210097, China |
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| Abstract: | This paper proves that a necessary condition for a composition operator on the Bloch space of the unit disk to be bounded below given by Ghatage, Yan and Zheng is also sufficient. Given furthermore are a sufficient condition and a necessary condition of the boundedness from below for a composition operator on the Bloch space of a unit ball with dimensions bigger than one. |
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| Keywords: | Bloch space composition operator boundedness from below. |
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