Comptes Rendus
Analyse fonctionnelle, Analyse harmonique
Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation
Jean Van Schaftingen1 
1 Université catholique de Louvain, Institut de Recherche en Mathématique et Physique, Chemin du Cyclotron 2 bte L7.01.01, 1348 Louvain-la-Neuve, Belgium
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1041-1049.

We prove Gagliardo–Nirenberg interpolation inequalities estimating the Sobolev semi-norm in terms of the bounded mean oscillation semi-norm and of a Sobolev semi-norm, with some of the Sobolev semi-norms having fractional order.

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Accepté le :
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DOI : 10.5802/crmath.463
Classification : 26D10, 35A23, 42B35, 46B70, 46E35
Jean Van Schaftingen 1

1 Université catholique de Louvain, Institut de Recherche en Mathématique et Physique, Chemin du Cyclotron 2 bte L7.01.01, 1348 Louvain-la-Neuve, Belgium
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Jean Van Schaftingen. Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1041-1049. doi : 10.5802/crmath.463. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.463/

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