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Algebraic properties of Toeplitz operators on the pluriharmonic bergman space
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نویسنده
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yang j. ,liu l. ,lu y.
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منبع
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journal of function spaces - 2013 - دوره : 2013 - شماره : 0
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چکیده
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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. © 2013 jingyu yang et al.
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آدرس
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school of mathematical sciences,dalian university of technology,dalian 116024,china,school of mathematics and statistics,chifeng university, China, school of mathematical sciences,dalian university of technology, China, school of mathematical sciences,dalian university of technology, China
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Authors
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