从α-Zygmund空间到β-Bloch空间的加权复合算子

数学物理学报 ›› 2015, Vol. 35 ›› Issue (4): 748-755.

从α-Zygmund空间到β-Bloch空间的加权复合算子

陆恒, 张太忠

南京信息工程大学数学与统计学院, 南京 210044

收稿日期:2014-06-19 修回日期:2015-03-28 出版日期:2015-08-25 发布日期:2015-08-25
作者简介:陆恒, luhengok@163.com;张太忠, zhangspaces@163.com
基金资助:
国家自然科学基金(41174165)和江苏省教育厅计划项目(07KJB110069)资助

Weighted Composition Operators from α-Zygmund Spaces into β-Bloch Spaces

Lu Heng, Zhang Taizhong

School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044

Received:2014-06-19 Revised:2015-03-28 Online:2015-08-25 Published:2015-08-25

摘要/Abstract

摘要：

该文得到了从单位圆上 α-Zygmund空间到 β-Bloch空间的加权复合算子的有界性和紧性的充分且必要的条件.

关键词: 加权复合算子, &alpha, -Zygmund空间, &beta, -Bloch空间, 有界性, 紧性

Abstract:

In this paper, we prove sufficient and necessary conditions for weighted composition operators from α-Zygmund spaces into β-Bloch spaces in the unit disk to be bounded and compact.

Key words: Weighted composition operator, α-Zygmund space, β-Bloch space, Boundedness, Compactness

中图分类号:

O174.56

陆恒, 张太忠. 从α-Zygmund空间到β-Bloch空间的加权复合算子[J]. 数学物理学报, 2015, 35(4): 748-755.

Lu Heng, Zhang Taizhong. Weighted Composition Operators from α-Zygmund Spaces into β-Bloch Spaces[J]. Acta mathematica scientia,Series A, 2015, 35(4): 748-755.

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