Toeplitz operators on harmonic Bergman spaces

Boo Rim Choe; Young Joo Lee; Kyunguk Na

doi:10.1017/S0027763000008837

Toeplitz operators on harmonic Bergman spaces

Boo Rim Choe, Young Joo Lee, Kyunguk Na

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

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.

Original language	English
Pages (from-to)	165-186
Number of pages	22
Journal	Nagoya Mathematical Journal
Volume	174
DOIs	https://doi.org/10.1017/S0027763000008837
Publication status	Published - 2004 Jun

ASJC Scopus subject areas

Mathematics(all)

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title = "Toeplitz operators on harmonic Bergman spaces",

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.",

author = "Choe, {Boo Rim} and Lee, {Young Joo} and Kyunguk Na",

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AU - Lee, Young Joo

AU - Na, Kyunguk

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N2 - 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.

AB - 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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JO - Nagoya Mathematical Journal

JF - Nagoya Mathematical Journal

ER -

Toeplitz operators on harmonic Bergman spaces

Abstract

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