Positive Schatten-Herz class Toeplitz operators on the ball

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

Research output: Contribution to journalArticle

Abstract

On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten-Herz class operator in terms of averaging functions and Berezin transforms.

Original languageEnglish
Pages (from-to)113-125
Number of pages13
JournalNew York Journal of Mathematics
Volume17 A
Publication statusPublished - 2011

Keywords

  • Harmonic bergman space
  • Schatten class
  • Schatten-herz class
  • Toeplitz operator

ASJC Scopus subject areas

  • Mathematics(all)

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