Document Zbl 1158.32001

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Choi, Eun Sun

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

J. Math. Kyoto Univ. 47, No. 2, 247-267 (2007).

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)

Cited in 1 Review

Cited in 5 Documents

MSC:

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

Keywords:

Toeplitz operator; pluriharmonic Bergman space; Schatten class; essential spectrum

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