Cn中加权解析Lipschitz空间上复合算子的有界性  

The Boundedness of Composition Operator on the Weighted Lipschitz Space in Cn

作　　者：张彦林[1] 肖建斌[1] 高智娟 

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2017年第5期100-102,共3页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(11571104)

摘　　要：单位圆盘上的加权Lipschitz空间中复合算子的有界性与紧性问题已有文献探究,并给出了复合算子的有界与紧性的充要条件;但一直未见文献讨论Cn中加权解析Lipschitz空间上复合算子的有界性问题,刻画了Cn中加权解析Lipschitz空间的特性,并利用空间中诱导距离的性质给出了复合算子Cφ在加权解析Lipschitz空间上为有界算子的充要条件.On the weighted Lipschitz Weighted Lipschitz Space in Cn ZHANG Yanlin, XIAO Jianbin, GAO Zhijuan l of Science, Hangzhou Dianzi University, Hangzhou Zhejiang 310018, China） unit disc, the boundedness and compactness of the composition operator in the spaces have been investigated, besides the necessary and sufficient conditions of the composition operator Cφ are obtained. However, there is no discussion about the boundedness of the composition operator on weighted analytic Lipsehitz spaces in Cn. by describing the properties of weighted analytic Lipschitz space in C^n, and combine with the properties of the induced distances in Lipschitz space, the necessary and sufficient conditions of the composition operator Cφ in weighted analytic Lipschitz space are obtained.

关 键 词：单位球 加权Lipschitz空间 复合算子 有界性 

分 类 号：O177.2[理学—数学]