Positive Toeplitz operators of Schatten-Herz type

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Motivated by a recent work of Loaiza et al. for the holomorphic case on the disk, we introduce and study the notion of Schatten-Herz type Toeplitz operators acting on the harmonic Bergman space of the ball. We obtain characterizations of positive Toeplitz operators of Schatten-Herz type in terms of averaging functions and Berezin transforms of symbol functions. Our characterization in terms of Berezin transforms settles a question posed by Loaiza et al.

Original languageEnglish
Pages (from-to)31-62
Number of pages32
JournalNagoya Mathematical Journal
Volume185
Publication statusPublished - 2007 Mar 30

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Berezin Transform
Toeplitz Operator
Positive Operator
Harmonic Bergman Space
Averaging
Ball

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Positive Toeplitz operators of Schatten-Herz type. / Choe, Boo Rim; Koo, Hyung Woon; Na, Kyunguk.

In: Nagoya Mathematical Journal, Vol. 185, 30.03.2007, p. 31-62.

Research output: Contribution to journalArticle

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