| 从上半平面Hardy空间到增长型空间和Bloch空间上的加权复合算子的有界性 |
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| 引用本文： | 姬小斌,于涛.从上半平面Hardy空间到增长型空间和Bloch空间上的加权复合算子的有界性[J].应用泛函分析学报,2011,13(2):195-200. |
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| 作者姓名： | 姬小斌 于涛 |
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| 作者单位： | 浙江师范大学数学系,金华,321004 |
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| 基金项目： | 国家自然科学基金，浙江省自然科学基金 |
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| 摘 要： | 研究了从上半平面的Hardy空间到增长型空间和Bloch空间上的加权复合算子有界性的充要条件,给出了上半平面增长型空间上的加权复合算子有界性的充要条件,利用上半平面增长型空间和圆盘增长型空间之间的同构,获得了圆盘增长型空间上的加权复合算子有界性的充要条件.
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| 关 键 词： | 加权复合算子 复合算子 Hardy空间 增长型空间 Bloch空间 |
Boundedness of Weighted Composition Operator from Hardy Space into Growth Space and Bloch Space on the Upper Half-plane |
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| JI Xiaobin,YU Tao.Boundedness of Weighted Composition Operator from Hardy Space into Growth Space and Bloch Space on the Upper Half-plane[J].Acta Analysis Functionalis Applicata,2011,13(2):195-200. |
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| Authors: | JI Xiaobin YU Tao |
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| Institution: | JI Xiaobin,YU Tao Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China |
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| Abstract: | This paper discuss sufficient and necessary conditions for boundedness of Weighted composition operator from the Hardy space into the Growth space and the Bloch space on the upper half-plane,and also get sufficient and necessary conditions for boundedness of weighted composition operator on the Growth spaces of the upper half-plane.Using isomorphism of the Growth spaces of the upper half-plane and the Growth spaces of the unit disc,some sufficient and necessary conditions for weighted composition operator o... |
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| Keywords: | weighted composition operator composition operator Hardy space Growth space Bloch space |
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