| Compactness of Composition Operators from the Bloch Space B to QK Spaces |
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| 引用本文： | Hasi WULAN. Compactness of Composition Operators from the Bloch Space B to QK Spaces[J]. 数学学报(英文版), 2005, 21(6): 1415-1424. DOI: 10.1007/s10114-005-0584-7 |
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| 作者姓名： | Hasi WULAN |
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| 作者单位： | Department of Mathematics, Shantou University, Shantou 515063, P. R. China |
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| 基金项目： | This research is supported in part by the National Natural Science Foundation of China （No. 10371069） and the NSF of Guangdong Province of China （No. 04011000） |
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| 摘 要： | Suppose that φ is an analytic self-map of the unit disk Δ. We consider compactness of the composition operator Cφ from the Bloch space B into the spaces QK defined by a nonnegative, nondecreasing function K（r） for 0 ≤ r 〈 Cφ. Our compactness condition depends only on Φ which can be considered as a slight improvement of the known results. The compactness of Cφ from the Dirichlet space D into the spaces QK is also investigated,
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| 关 键 词： | 复合算子 紧密性 Bloch空间 QK空间 |
| 收稿时间： | 2003-12-30 |
| 修稿时间： | 2003-12-302004-09-02 |
Compactness of Composition Operators from the Bloch Space ℬ to Q K Spaces |
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| Hasi Wulan. Compactness of Composition Operators from the Bloch Space ℬ to Q K Spaces[J]. Acta Mathematica Sinica(English Series), 2005, 21(6): 1415-1424. DOI: 10.1007/s10114-005-0584-7 |
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| Authors: | Hasi Wulan |
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| Affiliation: | (1) Department of Mathematics, Shantou University, Shantou 515063, P. R. China |
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| Abstract: | |
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| Keywords: | Composition operator Compactness the Bloch space QK spaces |
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