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2007 Positive Toeplitz operators on pluriharmonic Bergman spaces
Eun Sun Choi
J. Math. Kyoto Univ. 47(2): 247-267 (2007). DOI: 10.1215/kjm/1250281046

Abstract

We study Toeplitz operators on the pluriharmonic Bergman spaces $b^{p}$ for $1<p<\infty$. We give characterizations of Toeplitz operators with positive symbols to be bounded, compact and in the Schatten classes. Also, we describe the essential spectra of Toeplitz operators with uniformly continuous symbols.

Citation

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Eun Sun Choi. "Positive Toeplitz operators on pluriharmonic Bergman spaces." J. Math. Kyoto Univ. 47 (2) 247 - 267, 2007. https://doi.org/10.1215/kjm/1250281046

Information

Published: 2007
First available in Project Euclid: 14 August 2009

zbMATH: 1158.32001
MathSciNet: MR2376957
Digital Object Identifier: 10.1215/kjm/1250281046

Subjects:
Primary: 47B35
Secondary: 32Axx

Rights: Copyright © 2007 Kyoto University

Vol.47 • No. 2 • 2007
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