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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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Bounded Hankel Products on the Bergman Space of the Polydisk
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论文类型：期刊论文
发表时间：2009-02-01
发表刊物：CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
收录刊物：SCIE、Scopus
卷号：61
期号：1
页面范围：190-204
ISSN号：0008-414X
关键字：Toeplitz operator; Hankel operator; Haplitz products; Bergman space; polydisk
摘要：We consider the problem of determining for which square integrable functions f and g on the polydisk the densely defined Hankel product H(f) H(g)(*) is bounded on the Bergman space of the polydisk. Furthermore, we obtain similar results for the mixed Haplitz products H(g)T((f) over bar) and T(f)H(g)(*), where f and g are square integrable on the polydisk and f is analytic.