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| HAL : hal-00451399, version 2 |
| arXiv : 1001.5332 |
| DOI : 10.4153/CJM-2011-053-9 |
| Fiche détaillée |  Récupérer au format |
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| Canadian Journal of Mathematics 63, 5 (2011) 1161-1187 |
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| Versions disponibles : | v1 (29-01-2010) | v2 (23-06-2012) |
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| Transfer of Fourier multipliers into Schur multipliers and sumsets in a discrete group |
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| Stefan Neuwirth 1Éric Ricard 1 |
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| (10/2011) |
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| We inspect the relationship between relative Fourier multipliers on noncommutative Lebesgue-Orlicz spaces of a discrete group and relative Toeplitz-Schur multipliers on Schatten-von-Neumann-Orlicz classes. Four applications are given: lacunary sets; unconditional Schauder bases for the subspace of a Lebesgue space determined by a given spectrum, that is, by a subset of the group; the norm of the Hilbert transform and the Riesz projection on Schatten-von-Neumann classes with exponent a power of 2; the norm of Toeplitz Schur multipliers on Schatten-von-Neumann classes with exponent less than 1. |
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| 1 : | Laboratoire de Mathématiques (LM-Besançon) |
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CNRS : UMR6623 – Université de Franche-Comté |
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| Domaine | : | Mathématiques/Analyse fonctionnelle Mathématiques/Analyse classique |
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| Fourier multiplier – Toeplitz Schur multiplier – lacunary set – unconditional approximation property – Hilbert transform – Riesz projection |
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| hal-00451399, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00451399 | |
| oai:hal.archives-ouvertes.fr:hal-00451399 | |
| Contributeur : Stefan Neuwirth | |
| Soumis le : Vendredi 22 Juin 2012, 18:07:40 | |
| Dernière modification le : Samedi 23 Juin 2012, 21:22:54 | |
