解析Morrey空间到Zygmund空间上的Stevi-Sharma算子  

On Stevi-Sharma Operator from Analytic Morrey Spaces to Zygmund Spaces

作　　者：朱克超[1] 赵姣珍[1] ZHU Ke-chao;ZHAO Jiao-zhen(College of Humanities Sciences,Guizhou University for Nationalities,Guiyang 550025,China)

机构地区：[1]贵州民族大学人文科技学院,贵阳550025

出　　处：《西南师范大学学报（自然科学版）》2018年第12期41-47,共7页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：贵州省科技厅贵州省科学技术基金项目(黔科合J字[2014]2095号).

摘　　要：研究了解析Morrey空间到Zygmund空间上Stevi-Sharma算子的有界性与紧性.分别给出Morrey空间到Zygmund空间上Stevi-Sharma算子是有界算子和紧算子的充分必要条件.作为推论,得到Morrey空间到Zygmund空间上的加权复合算子的有界性及紧性.In this paper,the boundedness and compactness of the Stevic-Sharma operators from analytic Morrey sapces to Zygmund space are characterized.The sufficient and necessary conditions for the boundedness and compactness of the Stevic-Sharma operator are obtained.As a corollary,the conditions of boundedness and compactness of weighted composition operators are given.

关 键 词：MORREY空间 ZYGMUND空间 Stevic-Sharma算子 加权复合算子 有界性 紧性 

分 类 号：O174.5[理学—数学]