单位球Hardy空间上加权复合算子的交换子  

Commutators of Weighted Composition Operators on Hardy Space of the Unit Ball

作　　者：徐宁 周泽华 丁颖 Xu Ning;Zhou Zehua;Ding Ying(School of Science,Jiangsu Ocean University,Jiangsu Lianyungang 222005;Department of Mathematics,Tianjin University,Tianjin 300072)

机构地区：[1]江苏海洋大学理学院,江苏连云港222005 [2]天津大学数学学院,天津300072

出　　处：《数学物理学报（A辑）》2021年第6期1606-1615,共10页Acta Mathematica Scientia

基　　金：国家自然科学基金(11771323);江苏海洋大学博士科研启动金(KQ17006)。

摘　　要：该文研究了单位球Hardy空间上非自同构线性分式加权复合算子的交换子.首先给出加权复合算子的交换子公式.然后根据线性分式映射的三种类型刻画交换子的紧性.最后得到当线性分式映射为抛物型时,交换子是紧的.In this paper,we study commutators of weighted composition operators with linear fractional non-automorphisms on Hardy space of the unit ball.First,we obtain the formula of commutators of weighted composition operators.Then,we characterize compactness of commutators according to two special situations of linear fractional maps.Finally,we obtain that commutators are compact when linear fractional maps are parabolic and commutators are not compact when linear fractional maps are hyperbolic.

关 键 词：HARDY空间 加权复合算子 交换子 

分 类 号：O177.2[理学—数学]