单位球Dirichlet空间上的交换对偶Toeplitz算子  

Commuting dual Toeplitz operators on Dirichlet space of the unit ball

作　　者：朱若卫[1] 于涛[1] 陈泳[1] 

机构地区：[1]浙江师范大学数学系,浙江金华321004

出　　处：《纯粹数学与应用数学》2010年第3期473-477,共5页Pure and Applied Mathematics

基　　金：国家自然科学基金(10771064;10971195)

摘　　要：研究对偶Toeplitz算子(半)交换时其符号的关系.通过对其符号的分解,借助多复变函数的有关理论,得到了单位球Dirichlet空间上以多重调和函数为符号的对偶Toeplitz算子Sψ与Sψ(半)交换的充要条件.This paper investigates the relationship of symbols for two dual Toeplitz operators on the orthogonal complement of the Dirichlet space of the unit ball to semicommute or commute.By the decomposition of their symbols and using some techniques in several complex variable theory,we obtain the necessary and suffcient conditions for two dual Toeplitz operators Sψ and Sψ with pluriharmonic symbols to be semicommutting or commuting.

关 键 词：DIRICHLET空间 对偶TOEPLITZ算子 SOBOLEV空间 

分 类 号：O177.1[理学—数学]