Schatten properties of Toeplitz operators on the Paley–Wiener space

DOI10.5802/aif.3157zbMath1471.47017arXiv1610.02167OpenAlexW2963753493WikidataQ129839301 ScholiaQ129839301MaRDI QIDQ4557629

Roman Bessonov

Publication date: 26 November 2018

Published in: Annales de l’institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02167

zbMATH Keywords

Paley-Wiener spaceSchatten-von Neumann classdiscrete Hilbert transformdiscrete Besov space

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Cites Work

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• Toeplitz and Hankel operators on the Paley-Wiener space
• Mean oscillation of functions and the Paley-Wiener space
• The reproducing kernel thesis for Toeplitz operators on the Paley--Wiener space
• Fredholmness and compactness of truncated Toeplitz and Hankel operators
• Fonctions entières et intégrales de Fourier multiples. II
• Schatten-class truncated Toeplitz operators
• Wiener-Hopf Operators on a Finite Interval and Schatten-Von Neumann Classes
• Spaces of sequences, sampling theorem, and functions of exponential type

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