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

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

24 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

General Mathematics

Access to Document

10.4064/sm189-1-6

Cite this

@article{ed7a7ca8aceb4abb9937f7d11ba1b2f6,

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.",

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

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

year = "2008",

doi = "10.4064/sm189-1-6",

language = "English",

volume = "189",

pages = "65--90",

journal = "Studia Mathematica",

issn = "0039-3223",

publisher = "Institute of Mathematics. Polish Academy of Sciences",

number = "1",

}

TY - JOUR

T1 - Positive Schatten class Toeplitz operators on the ball

AU - Choe, Boo Rim

AU - Koo, Hyungwoon

AU - Lee, Young Joo

PY - 2008

Y1 - 2008

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.

AB - 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.

KW - Harmonic Bergman space

KW - Schatten class

KW - Toeplitz operator

UR - https://www.scopus.com/pages/publications/58149242177

UR - https://www.scopus.com/inward/citedby.url?scp=58149242177&partnerID=8YFLogxK

U2 - 10.4064/sm189-1-6

DO - 10.4064/sm189-1-6

M3 - Article

AN - SCOPUS:58149242177

SN - 0039-3223

VL - 189

SP - 65

EP - 90

JO - Studia Mathematica

JF - Studia Mathematica

IS - 1

ER -

Positive Schatten class Toeplitz operators on the ball

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this