Positive Schatten(-Herz) class toeplitz operators on the half-space

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

On the harmonic Bergman space of the half-space, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten (or Schatten-Herz) class operator in terms of averaging functions and Berezin transforms. Examples are provided to show that various results are sharp.

Original languageEnglish
Pages (from-to)73-100
Number of pages28
JournalPotential Analysis
Volume27
Issue number1
DOIs
Publication statusPublished - 2007 Aug 1

Fingerprint

Harmonic Bergman Space
Berezin Transform
Toeplitz Operator
Positive Operator
Half-space
Averaging
Arbitrary
Operator
Class

Keywords

  • Harmonic Bergman space
  • Schatten class
  • Schatten-Herz class
  • Toeplitz operator

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis

Cite this

Positive Schatten(-Herz) class toeplitz operators on the half-space. / Choe, Boo Rim; Koo, Hyung Woon; Lee, Young Joo.

In: Potential Analysis, Vol. 27, No. 1, 01.08.2007, p. 73-100.

Research output: Contribution to journalArticle

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