Hardy-Sobolev空间上的投影Toeplitz算子  

Projection Toeplitz operators on Hardy-Sobolev spaces

作　　者：林惠娜 何莉[1] LIN Huina;HE Li(School of Mathematics and Information Science,Guangzhou University,510006,Guangzhou,Guangdong,PRC)

机构地区：[1]广州大学数学与信息科学学院,广东省广州市510006

出　　处：《曲阜师范大学学报（自然科学版）》2022年第3期1-7,F0002,共8页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(11871170);广州大学研究生基础创新项目(2020GDJC-M30).

摘　　要：介绍了Hardy-Sobolev空间及其算子与算子代数研究方面的工作,主要刻画了具有某些特殊符号的Toeplitz算子在单位球的Hardy-Sobolev空间中为投影算子时的特征,并且进一步考虑了具有某种连续多重调和符号的Toeplitz算子乘积在单位球的Hardy-Sobolev空间中为投影算子的等价条件.This paper introduces the research work of operators and operator algebras on Hardy-Sobolev spaces.The characteristics of the Toeplitz operators with special symbols as projection operators on the Hardy-Sobolev space of the unit ball are characterized.The equivalent conditions when the product of Toeplitz operators with some continuous pluriharmonic symbols is a projection on the Hardy-Sobolev space of the unit ball are considered.

关 键 词：Hardy-Sobolev空间 加权DIRICHLET空间 TOEPLITZ算子 TOEPLITZ代数 

分 类 号：O177[理学—数学]