BERNICOT, Frederic; OUHABAZ, El Maati

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BERNICOT, Frederic
Laboratoire de Mathématiques Jean Leray [LMJL]

OUHABAZ, El Maati
Équipe Analyse

Idioma

Article de revue

Este ítem está publicado en

Mathematical Research Letters. 2013, vol. 20, n° 6, p. 1047-1058

International Press

Resumen en inglés

We consider an abstract non-negative self-adjoint operator $H$ on an $L^2$-space. We derive a characterization for the restriction estimate $\| dE_H(\lambda) \|_{L^p \to L^{p'}} \le C \lambda^{\frac{d}{2}(\frac{1}{p} - \frac{1}{p'}) -1}$ 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 $L^p-L^{p'}$ estimates for the derivatives of the spectral resolution of $H$.< Leer menos

Palabras clave

Restriction estimates

semigroup

spectral multipliers

dispersive estimates

URI

https://oskar-bordeaux.fr/handle/20.500.12278/189640

Proyecto ANR

Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251