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论文摘要

单位球上Bloch-Orlicz空间上的复合算子

Composition operators on Bloch-Orlicz type Spaces of the unit Ball

作者:何忠华(广东金融学院金融数学与统计学院);邓懿(广东金融学院金融数学与统计学院)

Author:HE Zhong-Hua(School of Financial Mathematics and Statistics, Guangdong University of Finance);DENG Yi(School of Financial Mathematics and Statistics, Guangdong University of Finance)

收稿日期:2017-09-17          年卷(期)页码:2018,55(2):237-242

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:Bloch-Orlicz空间,复合算子,单位球

Key words:Bloch-Orlicz space,Composition Operator,unit ball.

基金项目:国家自然科学基金,其它

中文摘要

通过Young函数定义了Bloch-Orlicz空间, 得出该空间等距同构于一类特殊的 -Bloch空间. 利用复分析和构造检验函数的方法, 研究了单位球上Bloch-Orlicz空间上复合算子的有界性、紧性是和下有界性, 得到了复合算子是Bloch-Orlicz空间上的有界算子、紧性算子和下有界算子的充要条件.

英文摘要

Using Young’s functions, we define the Bloch-Orlicz space and show that the Bloch-Orlicz space is isometrically equal to a special certain -Bloch space. By the analysis methods and constructing test functions, we investigate the boundedness, compactness and boundedness from below of the composition operator on Bloch-Orlicz type spaces of the unit ball, and obtain the sufficient and necessary conditions of boundedness、compactness and boundedness from below of the composition operator.

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