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2004 Toeplitz operators on harmonic Bergman spaces
Boo Rim Choe, Young Joo Lee, Kyunguk Na
Nagoya Math. J. 174: 165-186 (2004).

Abstract

We study Toeplitz operators on the harmonic Bergman spaces on bounded smooth domains. Two classes of symbols are considered; one is the class of positive symbols and the other is the class of uniformly continuous symbols. For positive symbols, boundedness, compactness, and membership in the Schatten classes are characterized. For uniformly continuous symbols, the essential spectra are described.

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Boo Rim Choe. Young Joo Lee. Kyunguk Na. "Toeplitz operators on harmonic Bergman spaces." Nagoya Math. J. 174 165 - 186, 2004.

Information

Published: 2004
First available in Project Euclid: 27 April 2005

zbMATH: 1067.47039
MathSciNet: MR2066107

Subjects:
Primary: 47B35
Secondary: 31B05 , 47B07 , 47B10

Rights: Copyright © 2004 Editorial Board, Nagoya Mathematical Journal

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Vol.174 • 2004
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