Schatten properties of Toeplitz operators on the Paley–Wiener space  [ Propriétés des opérateurs de Toeplitz de classes de Schatten sur l’espace de Paley-Wiener ]
Annales de l'Institut Fourier, Tome 68 (2018) no. 1, pp. 195-215.

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.

Reçu le : 2016-12-06
Accepté le : 2017-07-13
Publié le : 2018-04-18
DOI : https://doi.org/10.5802/aif.3157
Classification : 47B35,  46E39
Mots 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--Wiener space},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {68},
     number = {1},
     year = {2018},
     pages = {195-215},
     doi = {10.5802/aif.3157},
     language = {en},
     url = {aif.centre-mersenne.org/item/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. https://aif.centre-mersenne.org/item/AIF_2018__68_1_195_0/

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