[Propriétés des opérateurs de Toeplitz de classes de Schatten sur l’espace de Paley-Wiener]
Nous présentons plusieurs descriptions anciennes et nouvelles des opérateurs de Toeplitz de classe de Schatten sur l’espace de Paley-Wiener et répondons à une question de Richard Rochberg sur les commutateurs discrets de la transformée de Hilbert.
We collect several old and new descriptions of Schatten class Toeplitz operators on the Paley–Wiener space and answer a question on discrete Hilbert transform commutators posed by Richard Rochberg.
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Keywords: Paley–Wiener space, Schatten ideal, discrete Besov space, discrete Hilbert transform commutator
Mot clés : Espace de Paley–Wiener space, Idéal de Schatten, Espace de Besov discret
@article{AIF_2018__68_1_195_0,
author = {Bessonov, R.~V.},
title = {Schatten properties of {Toeplitz} operators on the {Paley{\textendash}Wiener} space},
journal = {Annales de l'Institut Fourier},
pages = {195--215},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {68},
number = {1},
year = {2018},
doi = {10.5802/aif.3157},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/aif.3157/}
}
TY - JOUR AU - Bessonov, R. V. TI - Schatten properties of Toeplitz operators on the Paley–Wiener space JO - Annales de l'Institut Fourier PY - 2018 SP - 195 EP - 215 VL - 68 IS - 1 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.3157/ DO - 10.5802/aif.3157 LA - en ID - AIF_2018__68_1_195_0 ER -
%0 Journal Article %A Bessonov, R. V. %T Schatten properties of Toeplitz operators on the Paley–Wiener space %J Annales de l'Institut Fourier %D 2018 %P 195-215 %V 68 %N 1 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.3157/ %R 10.5802/aif.3157 %G en %F AIF_2018__68_1_195_0
Bessonov, R. V. Schatten properties of Toeplitz operators on the Paley–Wiener space. Annales de l'Institut Fourier, Tome 68 (2018) no. 1, pp. 195-215. doi : 10.5802/aif.3157. http://archive.numdam.org/articles/10.5802/aif.3157/
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