摘要
利用Youngs函数定义了单位球上的小Bloch-Orlicz空间,通过在小Bloch-Orlicz空间中构造函数和函数列,利用符号函数在单位球上的边界性质刻画小Bloch-Orlicz空间上复合算子的有界性,紧致性以及下有界性.
By use of the Youngs function,the little Bloch-Orlicz spaces on the unit ball is defined,and by constructing some functions and function sequences on the little Bloch-Orlicz space,the boundedness,compactness and bounded below property of the composition operators on the little Bloch-Orlicz space are characterized using the boundary properties of symbolic functions on the unit ball.
作者
陈志
江治杰
CHEN Zhi;JIANG Zhijie(School of Management,Sichuan University of Science and Engineering,Zigong,Sichuan 643000,China;School of Mathematics and Statistics,Sichuan University of Science and Engineering,Zigong,Sichuan 643000,China)
出处
《内江师范学院学报》
2018年第12期60-63,共4页
Journal of Neijiang Normal University
基金
四川省科技厅应用基础研究项目(2018JY0200)
四川省教育厅重点项目(18ZA0339)
