F(p,q,s)空间到Hμ∞空间加权复合算子的差分

数学物理学报 ›› 2017, Vol. 37 ›› Issue (6): 1012-1028.

F(p,q,s)空间到H_μ^∞空间加权复合算子的差分

张利, 楚秀娇

南阳师范学院数学与统计学院河南南阳 473061

收稿日期:2016-06-07 修回日期:2017-01-15 出版日期:2017-12-26 发布日期:2017-12-26
作者简介:张利,E-mail:zhangli0977@126.com;楚秀娇,E-mail:chuxiujiao@163.com
基金资助:
国家自然科学基金（11526116）和南阳师范学院自然科学基金（ZX2014076）

Difference of Weighted Composition Operators Form F(p,q,s) Space to H_μ^∞ Space

Zhang Li, Chu Xiujiao

College of Mathematics and Statistics, Nanyang Normal University, Henan Nanyang 473061

Received:2016-06-07 Revised:2017-01-15 Online:2017-12-26 Published:2017-12-26
Supported by:
Supported by the NSFC (11526116) and the Natural Science Foundation of Nanyang Normal University (ZX2014076)

摘要/Abstract

摘要： 该文根据F（p，q，s）空间参数的具体数值，研究了单位圆盘D上从F（p，q，s）空间到H_μ^∞空间加权复合算子差分的有界性与紧致性.

关键词: 差分, 加权复合算子, F(p, q, s)空间, H_μ^∞

Abstract: In this paper, according to the value of parameters of F(p,q,s), we study the boundedness and compactness of differences of two weighted composition operators from F(p,q,s) to H_μ^∞ on the unit disk D.

Key words: Differences, Weighted composition operators, FF(p,q,s) space, H_μ^∞ space

中图分类号:

O174.5

张利, 楚秀娇. F(p,q,s)空间到H_μ^∞空间加权复合算子的差分[J]. 数学物理学报, 2017, 37(6): 1012-1028.

Zhang Li, Chu Xiujiao. Difference of Weighted Composition Operators Form F(p,q,s) Space to H_μ^∞ Space[J]. Acta mathematica scientia,Series A, 2017, 37(6): 1012-1028.

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