| 从混合模空间到Zygmund空间的Volterra型复合算子 |
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| 引用本文： | 刘永民,刘浩.从混合模空间到Zygmund空间的Volterra型复合算子[J].数学学报,2011(3):381-396. |
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| 作者姓名： | 刘永民 刘浩 |
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| 作者单位： | 徐州师范大学数学科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10471039); 江苏省普通高校自然科学研究计划资助项目(06KJD110175,07KJB110115) |
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| 摘 要： | 本文利用混合模空间H(p,q,φ)中函数的高阶导数的估计,通过构造一些新的检验函数,运用解析函数的性质与算子理论,给出了从混合模空间H(p,q,φ)到Zygmund空间的Volterra型复合算子的有界性和紧性的特征,获得了若干个充要条件.
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| 关 键 词： | 混合模空间 Zygmund空间 Volterra型复合算子 |
Volterra-Type Composition Operators from Mixed Norm Spaces to Zygmund Spaces |
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| Yong Min LIU Hao LIU.Volterra-Type Composition Operators from Mixed Norm Spaces to Zygmund Spaces[J].Acta Mathematica Sinica,2011(3):381-396. |
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| Authors: | Yong Min LIU Hao LIU |
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| Institution: | Yong Min LIU Hao LIU Department of Mathematics,Xuzhou Normal University,Xuzhou 221116,P.R.China |
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| Abstract: | In this paper,using the estimate of the higher order derivative of the function in mixed norm spaces,the properties of the analytic function and operator theory,the authors characterize the boundedness and compactness of the Volterra-type composition operator from mixed norm spaces H(p,q,φ)to Zygmund spaces by means of constructing some test functions,and some necessary and sufficient conditions of the Volterra-type composition operators to be bounded and compact are obtained. |
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| Keywords: | mixed norm space Zygmund space Volterra-type composition operators |
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