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

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

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

Keywords

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

ASJC Scopus subject areas

  • Analysis

Fingerprint Dive into the research topics of 'Positive Schatten(-Herz) class toeplitz operators on the half-space'. Together they form a unique fingerprint.

  • Cite this