Titre :

Sobolev space estimates for a class of bilinear pseudodifferential operators lacking symbolic calculus

Auteur(s) :

Bernicot, Frederic [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Torres, Rodolfo [Auteur]

Titre de la revue :

Analysis & PDE

Pagination :

551-571

Éditeur :

Mathematical Sciences Publishers

Date de publication :

2011

ISSN :

2157-5045

Mot(s)-clé(s) en anglais :

Bilinear pseudodifferential operators
exotic class
transposes
Littlewood-Paley theory
Sobolev space estimates

Discipline(s) HAL :

Mathématiques [math]/Analyse classique [math.CA]

Résumé en anglais : [en]

The reappearance of a sometimes called exotic behavior for linear and multilinear pseudodifferential operators is investigated. The phenomenon is shown to be present in a recently introduced class of bilinear pseudodifferential ...
Lire la suite >The reappearance of a sometimes called exotic behavior for linear and multilinear pseudodifferential operators is investigated. The phenomenon is shown to be present in a recently introduced class of bilinear pseudodifferential operators which can be seen as more general variable coefficient counterparts of the bilinear Hilbert transform and other singular bilinear multipliers operators. The unboundedness on product of Lebesgue spaces but the boundedness on spaces of smooth functions (which is the exotic behavior referred to) of such operators is obtained. In addition, by introducing a new way to approximate the product of two functions, estimates on a new paramultiplication are obtained.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Commentaire :

23 pages

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T12:28:25Z