no. 1
Schatten properties of Toeplitz operators on the Paley–Wiener space
Bessonov, R. V.1
1 St. Petersburg State University 29b, 14th Line V.O., 199178, St. Petersburg (Russia) and St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Science 27, Fontanka, 191023, St. Petersburg (Russia)
Annales de l'Institut Fourier, Volume 68 (2018) no. 1, pp. 195-215.

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.

Received:
Accepted:
Published online:
DOI: 10.5802/aif.3157
Classification: 47B35, 46E39
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
Bessonov, R. V. 1

1 St. Petersburg State University 29b, 14th Line V.O., 199178, St. Petersburg (Russia) and St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Science 27, Fontanka, 191023, St. Petersburg (Russia)
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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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. https://aif.centre-mersenne.org/articles/10.5802/aif.3157/

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