Toeplitz operators on harmonic Bergman spaces-Reference-Cited by-同舟云学术

Toeplitz operators on harmonic Bergman spaces

Published:2004 Issue: Volume:174 Page:165-186
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Choe Boo Rim,Lee Young Joo,Na Kyunguk

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Compact Toeplitz operators on weighted harmonic Bergman spaces

2. Compact Hankel operators on harmonic Bergman spaces

3. Toeplitz operators on harmonic Bergman spaces

4. Estimates of the Harmonic Bergman Kernel on Smooth Domains

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