On a product operator from weighted Bergman-Nevanlinna spaces to weighted Zygmund spaces

被引：2
|
作者：
Jiang, Zhi-jie [1 ]
机构：
[1] Sichuan Univ Sci & Engn, Inst Nonlinear Sci & Engn Comp, Zigong 643000, Sichuan, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
基金：
中国国家自然科学基金;
关键词：
weighted Bergman-Nevanlinna space; product operator; weighted Zygmund space; little weighted Zygmund space; BLOCH-TYPE SPACES; H-INFINITY; DIFFERENTIATION OPERATORS; NORM; HARDY;
D O I：
10.1186/1029-242X-2014-404
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let D = {z epsilon C: vertical bar Z vertical bar < 1} be the open unit disk, co an analytic self-map of D and psi an analytic function in D. Let D be the differentiation operator and W-phi,W-psi the weighted composition operator. The boundedness and compactness of the product operator DW phi,psi from weighted Bergman-Nevanlinna spaces to weighted Zygmund spaces on D are characterized.
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页数：14
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