加权Hardy空间上Toeplitz算子在其约化子空间的限制  

Restriction of Toeplitz Operators on Their Reducing Subspaces on the Weighted Hardy Spaces

作　　者：李姗 徐宪民[2] Li Shan;Xu Xianmin(Collage of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua,Zhejiang 321004;Institute of Mathematics,Jiaxing University,Jiaxing,Zhejiang 314001)

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004 [2]嘉兴学院数学研究所,浙江嘉兴314001

出　　处：《嘉兴学院学报》2018年第6期5-10,共6页Journal of Jiaxing University

摘　　要：给出在复平面瓘的开单位圆盘D上的加权Hardy空间H^2(β_α,D)上解析Toeplitz算子T_(_zN)在其极小约化子空间上的限制,证明了TzN相似于N重Bergman位移的直和.In this paper,we study the restriction of analytic Toeplitz operator TzN on its minimal reducing subspaces on the weighted Hardy space H^2(βα,D)on the open unit disk D.Furthermore,we show that TzN is similar to the direct sum of N copies of the Bergman shift.

关 键 词：加权HARDY空间 解析TOEPLITZ算子 极小约化子空间 

分 类 号：O177.2[理学—数学]