| 单位球上Hardy空间之间的加权复合算子 |
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| 引用本文： | XU Hui-ming,LIU Tai-shun(Department of Mathematics,University of Science and Technology of China,Hefei 230026,China, Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China). 单位球上Hardy空间之间的加权复合算子[J]. 数学季刊, 2004, 19(2): 111-119 |
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| 作者姓名： | XU Hui-ming LIU Tai-shun(Department of Mathematics University of Science and Technology of China Hefei 230026 China Department of Mathematics Zhejiang Normal University Jinhua 321004 China) |
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| 作者单位： | Department of Mathematics，University of Science and Technology of China，Hefei 230026，China; Department of Mathematics，Zhejiang Normal University，Jinhua 321004，China |
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| 基金项目： | Supported in part by 973 plan and NSF of Zhejiang Province of China(Gl999075105) |
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| 摘 要： | We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H1 to H1 is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces.
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| 关 键 词： | 复变函数 哈代空间 合成算子 几何 |
Weighted Composition Operators between Hardy Spaces on the Unit Ball |
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| XUHui-ming LIUTai-shun. Weighted Composition Operators between Hardy Spaces on the Unit Ball[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(2): 111-119 |
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| Authors: | XUHui-ming LIUTai-shun |
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| Affiliation: | DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei230026,China |
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| Abstract: | We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H^1 to H^1 is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces. |
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| Keywords: | Hardy space Bergman space weighted composition operator s-Carleson measure |
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