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Indexed by:期刊论文

Date of Publication:2013-01-01

Journal:JOURNAL OF FUNCTION SPACES AND APPLICATIONS

Included Journals:SCIE、Scopus

Volume:2013

ISSN No.:2090-8997

Abstract: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.