Open Access
Translator Disclaimer
2007 Positive Toeplitz operators of Shatten-Herz type
Boorim Choe, Kyungwoon Koo, Kyunguk Na
Nagoya Math. J. 185: 31-62 (2007).

Abstract

Motivated by a recent work of Loaiza {\it 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 {\it et al.}

Citation

Download Citation

Boorim Choe. Kyungwoon Koo. Kyunguk Na. "Positive Toeplitz operators of Shatten-Herz type." Nagoya Math. J. 185 31 - 62, 2007.

Information

Published: 2007
First available in Project Euclid: 23 March 2007

MathSciNet: MR2301457

Subjects:
Primary: 47B35
Secondary: 46E30

Keywords: harmonic Bergman space , Schatten-Herz type , Toeplitz operator

Rights: Copyright © 2007 Editorial Board, Nagoya Mathematical Journal

JOURNAL ARTICLE
32 PAGES


SHARE
Vol.185 • 2007
Back to Top