B~α到Z~β空间广义复合算子的新刻画（英文）  

A New Characterization of Generalized Composition Operators from B~α Spaces into Z~β Spaces

作　　者：陈翠 吉晶荣 Chen Cui;Ji Jingrong(Department of Mathematics,Tianjin University of Finance and Economics,Tianjin 300222,China;School of Mathematics,Tianjin University,Tianjin 300350,China)

机构地区：[1]天津财经大学数学系,天津300222 [2]天津大学数学学院,天津300350

出　　处：《南开大学学报（自然科学版）》2019年第5期15-23,共9页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by the National Natural Science Foundation of China(11371276)

摘　　要：令D为一维复平面上的单位圆盘,φ是定义在D上的解析自映射,g是定义在D上的解析函数.通过一种新的方式刻画了C^gφ:Bα→Zβ的有界性和紧性.此外还给出了C^gφ:Bα→Zβ本性范数的估计.Let φ be analytic self-map of the open unit disk D in the complex plane C and g be an analytic function on D. In this paper, we characterize the boundedness and compactness of the generalized composition operator C^gφ:B^α →Z^β in a new way. Moreover, the estimate for the essential norm of the generalized composition operator C^gφ:B^α →Z^β is also investigated.

关 键 词：广义复合算子 有界性 本性范数 B^α空间 Z^β空间 

分 类 号：O174.56[理学—数学]