Open Access
2004 Positive Toeplitz operators from a harmonic Bergman space into another
Boo R. Choe, Young J. Lee, Kyunguk Na
Tohoku Math. J. (2) 56(2): 255-270 (2004). DOI: 10.2748/tmj/1113246553

Abstract

On the setting of bounded smooth domains, we study positive Toeplitz operators between the harmonic Bergman spaces. We give characterizations of bounded and compact Toeplitz operators taking one harmonic Bergman space into another in terms of certain Carleson and vanishing Carleson measures.

Citation

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Boo R. Choe. Young J. Lee. Kyunguk Na. "Positive Toeplitz operators from a harmonic Bergman space into another." Tohoku Math. J. (2) 56 (2) 255 - 270, 2004. https://doi.org/10.2748/tmj/1113246553

Information

Published: 2004
First available in Project Euclid: 11 April 2005

zbMATH: 1077.47028
MathSciNet: MR2053321
Digital Object Identifier: 10.2748/tmj/1113246553

Subjects:
Primary: 47B35
Secondary: 31B05

Keywords: Carleson measure , Harmonic Bergman spaces , Toeplitz operators

Rights: Copyright © 2004 Tohoku University

Vol.56 • No. 2 • 2004
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