Compact composition operators on the Bloch space in polydiscs

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：tm7749

【摘要】

：

Let Un be the unit polydisc of Cn and =(1,…n) a holomorphicself-map of Un. As the main result of the paper, it shows that the composition operator Cφ is comp

【作者】

：

ZHOU Zehua

【机构】

：

1.DepartmentofMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

2001年3期

【关键词】

：

Bloch 空间 POLYDISC 作文操作员 Bergman mertic Bloch space polydisc composition operator

【基金项目】

：

国家自然科学基金

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Let Un be the unit polydisc of Cn and =(1,…n) a holomorphicself-map of Un. As the main result of the paper, it shows that the composition operator Cφ is compact on the Bloch space β(Un) if and only if for every ε>0, there exists a δ>0, such thatwhe

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Compact composition operators on the Bloch space in polydiscs

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