Restriction inequalities for the hyperbolic hyperboloid
نویسندگان
چکیده
In this article we establish new inequalities, both conditional and unconditional, for the restriction problem associated to hyperbolic, or one-sheeted, hyperboloid in three dimensions, endowed with a Lorentz-invariant measure. These inequalities are unconditional (and optimal) bilinear range q>103. Nous obtenons des nouvelles inégalités pour le problème de la transformée Fourier associé à l'hyperboloïde hyperbolique (ou une nappe), équipé avec mesure invariante par transformations Lorentz. Ces sont optimales et inconditionnelles dans régime bilinéaire
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2021
ISSN: ['0021-7824', '1776-3371']
DOI: https://doi.org/10.1016/j.matpur.2021.01.009