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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：基础数学
办公地点：数学科学学院525
电子邮箱：lyfdlut@dlut.edu.cn
Commuting Dual Toeplitz Operators on the Harmonic Dirichlet Space
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论文类型：期刊论文
发表时间：2016-09-01
发表刊物：ACTA MATHEMATICA SINICA-ENGLISH SERIES
收录刊物：SCIE、ISTIC、Scopus
卷号：32
期号：9
页面范围：1099-1105
ISSN号：1439-8516
关键字：Dual Toeplitz operator; harmonic Dirichlet space; commutativity
摘要：In this paper, we characterize the symbols for (semi-)commuting dual Toeplitz operators on the orthogonal complement of the harmonic Dirichlet space. We show that for phi, psi is an element of W (1,infinity), S phi S psi = S psi S phi on (D-h )(perpendicular to) if and only if phi and psi satisfy one of the following conditions: (1) Both phi and psi are harmonic functions; (2) There exist complex constants alpha and beta, not both 0, such that phi = alpha psi+beta.