|
个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职：数学科学学院副院长
性别：女
毕业院校：大连理工大学
学位：博士
所在单位：数学科学学院
学科：基础数学
电子邮箱：beth.liu@dlut.edu.cn
扫描关注
Properties of Toeplitz Operators on the Dirichlet Space Over the Ball
点击次数：
论文类型：期刊论文
发表时间：2019-10-01
发表刊物：ACTA MATHEMATICA SINICA-ENGLISH SERIES
收录刊物：SCIE
卷号：35
期号：10
页面范围：1617-1628
ISSN号：1439-8516
关键字：Toeplitz operator; pluriharmonic symbols; Dirichlet space
摘要：On the Dirichlet space of the unit ball, we study some algebraic properties of Toeplitz operators. We give a relation between Toeplitz operators on the Dirichlet space and their analogues defined on the Hardy space. Based on this, we characterize when finite sums of products of Toeplitz operators are of finite rank. Also, we give a necessary and sufficient condition for the commutator and semi-commutator of two Toeplitz operators being zero.