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论文类型：期刊论文

发表时间：2011-01-01

发表刊物：ABSTRACT AND APPLIED ANALYSIS

收录刊物：Scopus、SCIE

卷号：2011

ISSN号：1085-3375

摘要：We discuss some algebraic properties of Toeplitz operators on the Bergman space of the polydisk D(n). Firstly, we introduce Toeplitz operators with quasihomogeneous symbols and property (P). Secondly, we study commutativity of certain quasihomogeneous Toeplitz operators and commutators of diagonal Toeplitz operators. Thirdly, we discuss finite rank semicommutators and commutators of Toeplitz operators with quasihomogeneous symbols. Finally, we solve the finite rank product problem for Toeplitz operators on the polydisk.