Positive Schatten class Toeplitz operators on the ball

Boo Rim Choe; Hyungwoon Koo; Young Joo Lee

doi:10.4064/sm189-1-6

Positive Schatten class Toeplitz operators on the ball

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

Department of Mathematics

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

19 Citations (Scopus)

Abstract

On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten class operator in terms of averaging functions and Berezin transforms.

Original language	English
Pages (from-to)	65-90
Number of pages	26
Journal	Studia Mathematica
Volume	189
Issue number	1
DOIs	https://doi.org/10.4064/sm189-1-6
Publication status	Published - 2008

Keywords

Harmonic Bergman space
Schatten class
Toeplitz operator

ASJC Scopus subject areas

Mathematics(all)

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10.4064/sm189-1-6

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title = "Positive Schatten class Toeplitz operators on the ball",

abstract = "On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten class operator in terms of averaging functions and Berezin transforms.",

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author = "Choe, {Boo Rim} and Hyungwoon Koo and Lee, {Young Joo}",

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AU - Choe, Boo Rim

AU - Koo, Hyungwoon

AU - Lee, Young Joo

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N2 - On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten class operator in terms of averaging functions and Berezin transforms.

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KW - Harmonic Bergman space

KW - Schatten class

KW - Toeplitz operator

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JO - Studia Mathematica

JF - Studia Mathematica

IS - 1

ER -

Positive Schatten class Toeplitz operators on the ball

Abstract

Keywords

ASJC Scopus subject areas

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