Toeplitz operators on harmonic Bergman spaces

Boo Rim Choe, Young Joo Lee, Kyunguk Na

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26 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 languageEnglish
Pages (from-to)165-186
Number of pages22
JournalNagoya Mathematical Journal
Volume174
DOIs
Publication statusPublished - 2004 Jun

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ASJC Scopus subject areas

  • Mathematics(all)

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