从Hardy空间到Bers型空间的微分算子与乘子的积  

The Product of Differentiation and Multiplication Operator from Hardy to Bers-type Spaces

作　　者：詹牡君[1,2] 

机构地区：[1]广州大学数学与信息科学学院,广东广州510006 [2]广东药学院数学教研室,广东广州510006

出　　处：《数学的实践与认识》2015年第9期230-233,共4页Mathematics in Practice and Theory

摘　　要：给定复平面中单位圆盘D上的全纯自映射ψ(z),讨论了Hardy空间和Bers型空间之间的微分算子与乘子的积DM_ψ的有界性和紧性,得到了若干充要条件.Given φ a holomorphic self-map on the unit disc D of complex plane. The boundedness and compactness of the product of differentiation operator and multiplication operator from Hardy to Bers-type space are investigated in this paper and some sufficient and necessary conditions are obtained.

关 键 词：HARDY空间 BERS型空间 微分算子 乘子 

分 类 号：O177[理学—数学]