| Compactness of composition operators on BMOA and VMOA |
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| 作者姓名： | Hasi WULAN |
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| 作者单位： | Department of |
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| 基金项目： | 博士研究基金;国家自然科学基金 |
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| 摘 要： | We give a new and simple compactness condition for composition operators on BMOA,the space of all analytic functions of the bounded mean oscillation on the unit disk.Using our results one may immediately obtain that compactness of a composition operator on BMOA implies its compactness on the Bloch space as well as on the Hardy space.Similar results on VMOA are also given.
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| 收稿时间： | 12 April 2006 |
| 修稿时间： | 5 February 2007 |
Compactness of composition operators on BMOA and VMOA |
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| Hasi WULAN.Compactness of composition operators on BMOA and VMOA[J].Science in China(Mathematics),2007,50(7):997-1004. |
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| Authors: | Hasi Wulan |
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| Institution: | Department of Mathematics, Shantou University, Shantou 515063, China |
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| Abstract: | We give a new and simple compactness condition for composition operators on BMOA,the space of all analytic functions of the bounded mean oscillation on the unit disk.Using our results one may immediately obtain that compactness of a composition operator on BMOA implies its compactness on the Bloch space as well as on the Hardy space.Similar results on VMOA are also given. |
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| Keywords: | composition operators compactness BMOA VMOA |
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