卢玉峰

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

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Toeplitz Operators on the Dirichlet Space of B-n

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论文类型:期刊论文

发表时间:2012-01-01

发表刊物:ABSTRACT AND APPLIED ANALYSIS

收录刊物:SCIE、Scopus

卷号:2012

ISSN号:1085-3375

摘要:We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball B-n. We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric. We also obtain descriptions of conjugate holomorphic symbols of commuting Toeplitz operators. Finally, the commuting problem of Toeplitz operators whose symbols are of the form z(p)(z) over bar (q) phi(vertical bar z vertical bar(2))is studied.