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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COMMUTATIVITY AND HYPONORMALITY OF TOEPLITZ OPERATORS ON THE WEIGHTED BERGMAN SPACE

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论文类型:期刊论文

发表时间:2009-05-01

发表刊物:JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY

收录刊物:SCIE、Scopus

卷号:46

期号:3

页面范围:621-642

ISSN号:0304-9914

关键字:weighted Bergman space; Toeplitz operator; Mellin transform; commutativity; hyponormality

摘要:In this paper we give necessary and sufficient conditions that two Toeplitz operators with monomial symbols acting on the weighted Bergman space commute. We also present necessary and sufficient conditions for the hyponormality of Toeplitz operators with some special symbols on the weighted Bergman space. All the results are stated in terms of the Mellin transform of the symbol.