[Version avec poids du théorème de Paley–Wiener sur la transformée de Hilbert]
Nous prouvons des analogues avec poids du théorème de Paley–Wiener, à savoir l'intégrabilité de la transformée de Hilbert d'une fonction intégrable impaire décroissante sur
We prove weighted analogues of the Paley–Wiener theorem on integrability of the Hilbert transform of an integrable odd function which is monotone on
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Elijah Liflyand 1 ; Sergey Tikhonov 2
@article{CRMATH_2010__348_23-24_1253_0, author = {Elijah Liflyand and Sergey Tikhonov}, title = {Weighted {Paley{\textendash}Wiener} theorem on the {Hilbert} transform}, journal = {Comptes Rendus. Math\'ematique}, pages = {1253--1258}, publisher = {Elsevier}, volume = {348}, number = {23-24}, year = {2010}, doi = {10.1016/j.crma.2010.10.028}, language = {en}, }
Elijah Liflyand; Sergey Tikhonov. Weighted Paley–Wiener theorem on the Hilbert transform. Comptes Rendus. Mathématique, Volume 348 (2010) no. 23-24, pp. 1253-1258. doi : 10.1016/j.crma.2010.10.028. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.10.028/
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☆ The research was partially supported by the MTM 2008-05561-C02-02, 2009 SGR 1303, RFFI 09-01-00175, NSH-3252.2010.1, and ESF Network Programme HCAA.
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