| Volterra型算子和复合算子乘积的有界性 |
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| 引用本文： | 姬小斌,于涛.Volterra型算子和复合算子乘积的有界性[J].数学杂志,2011,31(6):1091-1096. |
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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,浙江金华,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： | 本文研究了从上半平面的Hardy空间到Zygmund空间上的Volterra型算子和复合算子乘积的有界性问题.利用泛函分析和复分析的方法,获得了从上半平面的Hardy空间到Zygmund空间生成的Volterra型算子和复合算子的乘积有界性刻画,推广了S.Stevic关于从上半平面的Hardy空间到Zygmund空间上的复合算子有界性的结果.
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| 关 键 词： | Volterra型算子 复合算子 Hardy空间 Zygmund空间 |
BOUNDEDNESS OF PRODUCT OF VOLTERRA TYPE OPERATOR AND COMPOSITION OPERATOR |
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| JI Xiao-bin,YU Tao.BOUNDEDNESS OF PRODUCT OF VOLTERRA TYPE OPERATOR AND COMPOSITION OPERATOR[J].Journal of Mathematics,2011,31(6):1091-1096. |
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| Authors: | JI Xiao-bin YU Tao |
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| Institution: | JI Xiao-bin,YU Tao (Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China) |
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| Abstract: | We discuss boundedness of products of Volterra type operators and composition operators from the Hardy space to the Zygmund space on the upper half-plane.By using the method of functional analysis and complex analysis,some sufficient and necessary conditions for the product of a Volterra type operator and a composition operator to be bounded are obtained. To popularize the results of S.Stevic about boundedness of composition operators from the Hardy space to the Zygmund space on the upper half-plane. |
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| Keywords: | Volterra type operator composition operator Hardy space Zygmund space |
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