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Positive Toeplitz operators on pluriharmonic Bergman spaces. (English) Zbl 1158.32001

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.
Reviewer: Yufeng Lu (Dalian)

MSC:

32A36 Bergman spaces of functions in several complex variables
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
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