Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation

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.

Bibliographic Details
Main Author: Van Schaftingen, Jean
Format: Article
Language:English
Published: Académie des sciences 2023-09-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.463/