LB上Volterra型与复合算子积的有界性与紧性关系  

The Relationship between Boundedness and Compactness of Products of Volterra Type Operator and Composition in LB Space

作　　者：刘慧琴[1] LIU Huiqin(College of Information Management,Minnan University of Science and Technology,Shishi,Fujian 362700,China)

机构地区：[1]闽南理工学院信息管理学院

出　　处：《闽江学院学报》2019年第5期6-8,共3页Journal of Minjiang University

摘　　要：从H∞和Bloch空间到Zygmund空间上的Volterra型算子和复合算子积的有界性和紧性及其关系已被研究过。现根据其研究思路和方法得到了在LB和LB0上Volterra型算子和复合算子的积的有界性之间的关系,以及在LB和LB0上这些算子的有界性和紧性这两者之间的关系。The boundedness and compactness of the product of Volterra type operator and composition from H∞and Bloch space to Zygmund space has been studied and the relationship between boundedness and compactness of these operators also has been studied.According to its research ideas and methods,this paper studies the relationship between LB space and LB0 space about boundedness of products of Volterra type operator and composition.Then it describes the relationship between boundedness and compactness of these operators in LB space and LB0 space.

关 键 词：LB空间 LB0空间 Volterra型算子 复合算子 有界性 紧性 

分 类 号：O177.2[理学—数学]