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论文类型：期刊论文

发表时间：2013-01-01

发表刊物：JOURNAL OF FUNCTION SPACES AND APPLICATIONS

收录刊物：SCIE、Scopus

卷号：2013

ISSN号：2090-8997

摘要：We study some algebraic properties of Toeplitz operators with radial or quasihomogeneous symbols on the pluriharmonic Bergman space. We first give the necessary and sufficient conditions for the product of two Toeplitz operators with radial symbols to be a Toeplitz operator and discuss the zero-product problem for several Toeplitz operators with radial symbols. Next, we study the finite-rank product problem of several Toeplitz operators with quasihomogeneous symbols. Finally, we also investigate finite rank commutators and semicommutators of two Toeplitz operators with quasihomogeneous symbols.