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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
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Toeplitz and Hankel Products on Bergman Spaces of the Unit Ball
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论文类型：期刊论文
发表时间：2009-05-01
发表刊物：CHINESE ANNALS OF MATHEMATICS SERIES B
收录刊物：ISTIC、SCIE
卷号：30
期号：3
页面范围：293-310
ISSN号：0252-9599
关键字：Weighted Bergman space; Unit ball; Toeplitz operator; Hankel operator; Berezin transform
摘要：The authors give some new necessary conditions for the boundedness of Toeplitz products (TfT(g) over bar alpha)-T-alpha on the weighted Bergman space A(alpha)(2) of the unit ball, where f and g are analytic on the unit ball. Hankel products HfHg* on the weighted Bergman space of the unit ball are studied, and the results analogous to those Stroethoff and Zheng obtained in the setting of unit disk are proved.