从Zygmund空间和F(p,q,s)空间到Bμ空间的广义复合算子

数学物理学报 ›› 2015, Vol. 35 ›› Issue (4): 815-823.

从Zygmund空间和F(p,q,s)空间到B^μ空间的广义复合算子

谭春雨, 王茂发

武汉大学数学与统计学院, 武汉 430072

收稿日期:2014-11-04 修回日期:2015-04-09 出版日期:2015-08-25 发布日期:2015-08-25
作者简介:谭春雨, cytan@whu.edu.cn;王茂发, mfwang.math@whu.edu.cn
基金资助:
国家自然科学基金(11271293)资助

Generalized Composition Operators from Zygmund Spaces and F(p,q,s) Spaces to B^μ Spaces

Tan Chunyu, Wang Maofa

School of Mathematics and Statistics, Wuhan University, Wuhan 430072

Received:2014-11-04 Revised:2015-04-09 Online:2015-08-25 Published:2015-08-25

摘要/Abstract

摘要：

讨论了单位圆盘上从Zygmund空间, F(p,q,s)空间到B^μ空间上的广义复合算子, 给出了其有界性和紧性的一些判别条件. 同时也刻画了对应小空间上的广义复合算子的有界性和紧性.

关键词: 广义复合算子, Zygmund空间, F(p, q, s)空间, B^&mu, 空间, 有界性, 紧性

Abstract:

In this paper, we study generalized composition operators from Zygmund spaces and F(p,q,s) spaces to B^μ spaces and obtain some criterions of the boundedness and compactness, respectively. We also consider the generalized composition operators on the corresponding little spaces

Key words: Generalized compostion operator, Zygmund space, F(p,q,s) space, B^μ space, boundedness, Compactness

中图分类号:

O174.5

谭春雨, 王茂发. 从Zygmund空间和F(p,q,s)空间到B^μ空间的广义复合算子[J]. 数学物理学报, 2015, 35(4): 815-823.

Tan Chunyu, Wang Maofa. Generalized Composition Operators from Zygmund Spaces and F(p,q,s) Spaces to B^μ Spaces[J]. Acta mathematica scientia,Series A, 2015, 35(4): 815-823.

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