Positive Toeplitz operators on pluriharmonic Bergman spaces (Q2475048)

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Positive Toeplitz operators on pluriharmonic Bergman spaces
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    Positive Toeplitz operators on pluriharmonic Bergman spaces (English)
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    20 March 2008
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    In this paper, the author studies Toeplitz operators on the pluriharmonic Bergman spaces \(b^p\) for \(1<p<\infty.\) The author completely characterizes boundedness, compactness and Schatten classes of Toeplitz operators with positive symbols and gives the formula for the essential spectrum of Toeplitz operators with continuous symbols.
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    Toeplitz operator
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    pluriharmonic Bergman space
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    Schatten class
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    essential spectrum
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