Essential norms of generalized composition operators between Bloch-type spaces in the unit ball

被引：6
作者：
Chen, Cui [1 ]
Zhou, Ze-Hua [1 ,2 ]
机构：
[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
[2] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 05期
基金：
中国国家自然科学基金;
关键词：
45P05; Secondary: 32H02; 30H05; 30H30; 47G10; 47B33; Primary: 47B38; essential norm; Bloch-type space; compactness; boundedness; generalized composition operator; WEIGHTED COMPOSITION OPERATORS; MIXED-NORM; INTEGRAL OPERATOR; COMPACTNESS;
D O I：
10.1080/17476933.2014.968848
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let be the class of all holomorphic functions on the unit ball in . For with and an analytic self-map of , the generalized composition operator is defined byIn this paper, we give estimates for the essential norms of the generalized composition operators between Bloch-type spaces in terms of the powers of the components of . We also give new characterizations for the boundedness and compactness of between Bloch-type spaces.
引用
收藏
页码：696 / 706
页数：11
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