Titre :

{\L}ojasiewicz ideals in Denjoy-Carleman classes

Auteur(s) :

Thilliez, Vincent [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Studia Mathematica

Pagination :

35-46

Éditeur :

Instytut Matematyczny - Polska Akademii Nauk

Date de publication :

2013

ISSN :

0039-3223

Discipline(s) HAL :

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

Résumé en anglais : [en]

The classical notion of {\L}ojasiewicz ideals of smooth functions is studied in the context of non-quasianalytic Denjoy-Carleman classes. In the case of principal ideals, we obtain a characterization of {\L}ojasiewicz ...
Lire la suite >The classical notion of {\L}ojasiewicz ideals of smooth functions is studied in the context of non-quasianalytic Denjoy-Carleman classes. In the case of principal ideals, we obtain a characterization of {\L}ojasiewicz ideals in terms of properties of a generator. This characterization involves a certain type of estimates that differ from the usual {\L}ojasiewicz inequality. We then show that basic properties of {\L}ojasiewicz ideals in the $\mathcal{C}^\infty$ case have a Denjoy-Carleman counterpart.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Commentaire :

12 pages

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL