Positive toeplitz operators from a harmonic bergman space into another

Boo R. Choe; Young J. Lee; Kyunguk Na

doi:10.2748/tmj/1113246553

Positive toeplitz operators from a harmonic bergman space into another

Boo R. Choe, Young J. Lee, Kyunguk Na

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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.

Original language	English
Pages (from-to)	255-270
Number of pages	16
Journal	Tohoku Mathematical Journal
Volume	56
Issue number	2
DOIs	https://doi.org/10.2748/tmj/1113246553
Publication status	Published - 2004

Keywords

Carleson measure
Harmonic bergman spaces
Toeplitz operators

ASJC Scopus subject areas

Mathematics(all)

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10.2748/tmj/1113246553

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title = "Positive toeplitz operators from a harmonic bergman space into another",

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.",

keywords = "Carleson measure, Harmonic bergman spaces, Toeplitz operators",

author = "Choe, {Boo R.} and Lee, {Young J.} and Kyunguk Na",

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T1 - Positive toeplitz operators from a harmonic bergman space into another

AU - Choe, Boo R.

AU - Lee, Young J.

AU - Na, Kyunguk

PY - 2004

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N2 - 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.

AB - 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.

KW - Carleson measure

KW - Harmonic bergman spaces

KW - Toeplitz operators

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U2 - 10.2748/tmj/1113246553

DO - 10.2748/tmj/1113246553

M3 - Article

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JO - Tohoku Mathematical Journal

JF - Tohoku Mathematical Journal

IS - 2

ER -

Positive toeplitz operators from a harmonic bergman space into another

Abstract

Keywords

ASJC Scopus subject areas

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