Positive Schatten-Herz class Toeplitz operators on the ball

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 Sep 27

Fingerprint

Harmonic Bergman Space
Berezin Transform
Toeplitz Operator
Positive Operator
Averaging
Ball
Arbitrary
Operator
Class

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Positive Schatten-Herz class Toeplitz operators on the ball. / Choe, Boo Rim; Koo, Hyung Woon; Lee, Young Joo.

In: New York Journal of Mathematics, Vol. 17 A, 27.09.2011, p. 113-125.

Research output: Contribution to journalArticle

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