Positive Schatten-Herz class Toeplitz operators on the ball

Boo Rim Choe; Hyungwoon Koo; Young Joo Lee

Positive Schatten-Herz 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

Abstract

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

Original language	English
Pages (from-to)	113-125
Number of pages	13
Journal	New York Journal of Mathematics
Volume	17 A
Publication status	Published - 2011

Keywords

Harmonic bergman space
Schatten class
Schatten-herz class
Toeplitz operator

ASJC Scopus subject areas

Mathematics(all)

Cite this

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title = "Positive Schatten-Herz 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-Herz class operator in terms of averaging functions and Berezin transforms.",

keywords = "Harmonic bergman space, Schatten class, Schatten-herz class, Toeplitz operator",

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

year = "2011",

language = "English",

volume = "17 A",

pages = "113--125",

journal = "New York Journal of Mathematics",

issn = "1076-9803",

publisher = "Electronic Journals Project",

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TY - JOUR

T1 - Positive Schatten-Herz class Toeplitz operators on the ball

AU - Choe, Boo Rim

AU - Koo, Hyungwoon

AU - Lee, Young Joo

PY - 2011

Y1 - 2011

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

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

KW - Harmonic bergman space

KW - Schatten class

KW - Schatten-herz class

KW - Toeplitz operator

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M3 - Article

AN - SCOPUS:80053088477

VL - 17 A

SP - 113

EP - 125

JO - New York Journal of Mathematics

JF - New York Journal of Mathematics

SN - 1076-9803

ER -

Positive Schatten-Herz class Toeplitz operators on the ball

Abstract

Keywords

ASJC Scopus subject areas

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