Essential norms of composition operators between Bloch type spaces in the polydisk

被引：13

作者：

Fang, Zhong-Shan ^{[1
,2
]}

Zhou, Ze-Hua ^{[2
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China

[2] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

来源：

ARCHIV DER MATHEMATIK | 2012年 / 99卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Composition operator; Bloch type space; Essential norm; Polydisk; Several complex variables; WEIGHTED COMPOSITION OPERATORS; COMPACT COMPOSITION OPERATORS;

D O I：

10.1007/s00013-012-0457-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2010, Ruhan Zhao obtained the essential norms of composition operators between Bloch type spaces in the disk by the nth power of the induced analytic function. This paper will generalize Zhao's results to the polydisk. Unlike the case of the composition operators on the unit disk, the essential norms are different for the cases and p a parts per thousand yen 1.

引用

页码：547 / 556

页数：10

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