多圆盘Bergman空间上Toeplitz和Hankel算子的特征  

The Characteristic for Toeplitz and Hankel Operators on the Bergman of Polydisk Spaces

作　　者：孙志玲[1] 

机构地区：[1]内蒙古民族大学数学学院

出　　处：《应用泛函分析学报》2016年第4期353-359,共7页Acta Analysis Functionalis Applicata

基　　金：内蒙古自然科学基金(2014BS0106);内蒙古民族大学博士科研启动基金(BS311)

摘　　要：运用算子方程刻画了多圆盘Bergman空间上小Hankel算子的特征,建立了一个关于小Hankel算子的Nehari型定理;接下来讨论了Toeplitz算子的特征,证明了Toeplitz不满足这样的算子方程.在此基础上讨论了两类换位子的集合可以构成C*-代数的相关问题.In this paper, the characteristics of the small Hankel operator on polydisk Bergman is characterized by the operator equations, establish the Nehari theorem of small Hankel operator. Next, the characteristics of the Toeplitz operators are discussed. It is proved that the Toeplitz does not satisfy the operator equation. On the basis of this, we discuss the related problems of the two kinds sets of the essential commutant can composition C＊-algebra.

关 键 词：多圆盘Bergman空间 TOEPLITZ算子 小Hankel算子 特征 

分 类 号：O177[理学—数学]