Besov空间到Zygmund型空间上的加权微分复合算子  

Weighted Differential Composition Operators from Besov-type Spaces to Zygmund-type Spaces

作　　者：陈伟 许毅 CHEN Wei;XU Yi(College of Mathematics, Physics and Electronic Information Engineering, Wenzhou University, Wenzhou, China 32503)

机构地区：[1]温州大学数理与电子信息工程学院,浙江温州325800

出　　处：《温州大学学报（自然科学版）》2018年第2期8-16,共9页Journal of Wenzhou University(Natural Science Edition)

摘　　要：设ψ为单位圆盘D上的解析自映射,u为D上的解析函数.讨论了从Besov空间到Zygmund型空间Z_μ的加权微分复合算子,D_(u,ψ)~n,通过构造复杂的检验函数得到了算子有界性和紧性的充分必要条件.Let Ф be an analytic self-map of the unit disk D , and u be an analytic function on D . Is is discussed in this paper that the boundedness and compactness of the weighted differential composition operator DnФ,u, from Besov-type space , B p,q to Zygmund-type space Zμ . The necessary and sufficient conditions of the operators with bounredness and compactness are obtained by means of constructing complex test functions.

关 键 词：有界性 紧性 加权微分复合算子 BESOV空间 ZYGMUND型空间 

分 类 号：O177.1[理学—数学]