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论文类型：期刊论文

发表时间：2018-01-01

发表刊物：HOUSTON JOURNAL OF MATHEMATICS

收录刊物：SCIE

卷号：44

期号：1

页面范围：169-185

ISSN号：0362-1588

关键字：Dual Toeplitz operator; algebraic property; Bergman space; Hardy space; the unit ball

摘要：In this paper, we study some algebraic properties of dual Toeplitz operators, and prove that the dual Toeplitz operator commuting with an analytic dual Toeplitz operator must be also an analytic dual Toeplitz operator on the orthogonal complement of the Bergman space on the unit ball. Furthermore, we characterize when the sum of products of two dual Toeplitz operators is equal to a dual Toeplitz operator on the orthogonal complement of the Bergman space on the unit ball or the Hardy space on the sphere.