关于从混合模空间到小 |Zygmund 空间的 Volterra 型复合算子

数学物理学报 ›› 2015, Vol. 35 ›› Issue (1): 210-217.

关于从混合模空间到小 |Zygmund 空间的 Volterra 型复合算子

刘永民¹, 于燕燕²

1. 江苏师范大学数学与统计学院江苏徐州 221116 2. 徐州工程学院数学与物理科学学院江苏徐州 221111

收稿日期:2014-01-08 修回日期:2014-10-23 出版日期:2015-02-25 发布日期:2015-02-25
基金资助:
国家自然科学基金(11171285) 和江苏高校优势学科建设工程资助项目

On Volterra-type Composition Operators from Mixed Norm Spaces |to Little Zygmund Spaces

LIU Yong-Min¹, YU Yan-Yan²

1. School of Mathematics and |Statistics, Jiangsu Normal University, Jiangsu Xuzhou 221116 2. School of Mathematics and Physics |Science, Xuzhou Institute of Technology, Jiangsu Xuzhou 221111

Received:2014-01-08 Revised:2014-10-23 Online:2015-02-25 Published:2015-02-25

摘要/Abstract

摘要：

利用混合模空间 $\100dpi \inline $H(p,\, q,\, \phi)$$ 中函数的高阶导数的估计、解析函数的性质与算子理论, 给出了从混合模空间 $\100dpi \inline $H(p,\, q,\, \phi)$$ 到小Zygmund空间的Volterra型复合算子的有界性和紧性的特征, 获得了几个充要条件.

关键词: 有界性 , , 紧性 , 混合模空间 , 小 Zygmund 空间 , Volterra 型复合算子

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 andoperator theory, the authorscharacterize the boundedness and compactness of the Volterra-type composition operator from mixed norm spaces $\100dpi \inline $H(p,\, q,\, \phi)$$ to little Zygmund spaces. Some necessary and sufficient conditions of the Volterra-type composition operatorsto be bounded and compact are obtained.

Key words: Boundedness, Compactness , Mixed norm space , Little Zygmund space , Volterra-type composition , operators.

中图分类号:

47B38

刘永民, 于燕燕. 关于从混合模空间到小 |Zygmund 空间的 Volterra 型复合算子[J]. 数学物理学报, 2015, 35(1): 210-217.

LIU Yong-Min, YU Yan-Yan. On Volterra-type Composition Operators from Mixed Norm Spaces |to Little Zygmund Spaces[J]. Acta mathematica scientia,Series A, 2015, 35(1): 210-217.

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