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.
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.
Accepted:
Published online:
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://www.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://www.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://www.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, Volume 68 (2018) no. 1, pp. 195-215. doi : 10.5802/aif.3157. http://www.numdam.org/articles/10.5802/aif.3157/
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