Positive Schatten class Toeplitz operators on the ball

Boo Rim Choe; Hyungwoon Koo; Young Joo Lee

Studia Mathematica (2008)

  • Volume: 189, Issue: 1, page 65-90
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Boo Rim Choe, Hyungwoon Koo, and Young Joo Lee. "Positive Schatten class Toeplitz operators on the ball." Studia Mathematica 189.1 (2008): 65-90. <http://eudml.org/doc/284609>.

@article{BooRimChoe2008,
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.},
author = {Boo Rim Choe, Hyungwoon Koo, Young Joo Lee},
journal = {Studia Mathematica},
keywords = {Toeplitz operator; harmonic Bergman space; Schatten class},
language = {eng},
number = {1},
pages = {65-90},
title = {Positive Schatten class Toeplitz operators on the ball},
url = {http://eudml.org/doc/284609},
volume = {189},
year = {2008},
}

TY - JOUR
AU - Boo Rim Choe
AU - Hyungwoon Koo
AU - Young Joo Lee
TI - Positive Schatten class Toeplitz operators on the ball
JO - Studia Mathematica
PY - 2008
VL - 189
IS - 1
SP - 65
EP - 90
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.
LA - eng
KW - Toeplitz operator; harmonic Bergman space; Schatten class
UR - http://eudml.org/doc/284609
ER -

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