Restriction estimates via the derivatives of the heat semigroup and connection with dispersive estimates
| hal.structure.identifier | Laboratoire de Mathématiques Jean Leray [LMJL] | |
| dc.contributor.author | BERNICOT, Frederic | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, El Maati | |
| dc.date.accessioned | 2024-04-04T02:17:04Z | |
| dc.date.available | 2024-04-04T02:17:04Z | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 1073-2780 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189194 | |
| dc.description.abstractEn | We consider an abstract non-negative self-adjoint operator H on an L2- space. We derive a characterization for the restriction estimate lldEH(λ)/dλll Lp→Lp ≤ Cλ d/2 (1/p − 1/p')−1 (involving the Radon-Nikodym derivative of the spectral measure) in terms of higher order derivatives of the semigroup e−tH. We provide an alternative proof of a result in [1] which asserts that dispersive estimates imply restriction estimates. We also prove Lp − Lp' estimates for the derivatives of the spectral resolution of H. | |
| dc.description.sponsorship | Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013 | |
| dc.language.iso | en | |
| dc.publisher | International Press | |
| dc.title.en | Restriction estimates via the derivatives of the heat semigroup and connection with dispersive estimates | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4310/MRL.2013.v20.n6.a4 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| bordeaux.journal | Mathematical Research Letters | |
| bordeaux.page | 1047-1058 | |
| bordeaux.volume | 20 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 6 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00998126 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00998126v1 | |
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