Positive Schatten(-Herz) class toeplitz operators on the half-space

Boo Rim Choe; Hyungwoon Koo; Young Joo Lee

doi:10.1007/s11118-007-9044-6

Positive Schatten(-Herz) class toeplitz operators on the half-space

Boo Rim Choe, Hyungwoon Koo, Young Joo Lee

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

7 Citations (Scopus)

Abstract

On the harmonic Bergman space of the half-space, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten (or Schatten-Herz) class operator in terms of averaging functions and Berezin transforms. Examples are provided to show that various results are sharp.

Original language	English
Pages (from-to)	73-100
Number of pages	28
Journal	Potential Analysis
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s11118-007-9044-6
Publication status	Published - 2007 Aug

Bibliographical note

Funding Information:
This research was supported by KOSEF(R01-2003-000-10243-0).

Keywords

Harmonic Bergman space
Schatten class
Schatten-Herz class
Toeplitz operator

ASJC Scopus subject areas

Analysis

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10.1007/s11118-007-9044-6

Cite this

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title = "Positive Schatten(-Herz) class toeplitz operators on the half-space",

abstract = "On the harmonic Bergman space of the half-space, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten (or Schatten-Herz) class operator in terms of averaging functions and Berezin transforms. Examples are provided to show that various results are sharp.",

keywords = "Harmonic Bergman space, Schatten class, Schatten-Herz class, Toeplitz operator",

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

note = "Funding Information: This research was supported by KOSEF(R01-2003-000-10243-0).",

year = "2007",

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doi = "10.1007/s11118-007-9044-6",

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AU - Choe, Boo Rim

AU - Koo, Hyungwoon

AU - Lee, Young Joo

N1 - Funding Information: This research was supported by KOSEF(R01-2003-000-10243-0).

PY - 2007/8

Y1 - 2007/8

N2 - On the harmonic Bergman space of the half-space, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten (or Schatten-Herz) class operator in terms of averaging functions and Berezin transforms. Examples are provided to show that various results are sharp.

AB - On the harmonic Bergman space of the half-space, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten (or Schatten-Herz) class operator in terms of averaging functions and Berezin transforms. Examples are provided to show that various results are sharp.

KW - Harmonic Bergman space

KW - Schatten class

KW - Schatten-Herz class

KW - Toeplitz operator

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DO - 10.1007/s11118-007-9044-6

M3 - Article

AN - SCOPUS:34250817422

SN - 0926-2601

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ER -

Positive Schatten(-Herz) class toeplitz operators on the half-space

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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