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Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation

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Van Schaftingen, Jean [UCL]

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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2023
Language Anglais
Journal information "Comptes Rendus. Mathématique" - Vol. 361, no.G6, p. 1041-1049 (2023)
Peer reviewed yes
Publisher Cellule MathDoc/CEDRAM
e-issn 1778-3569
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Keywords General Mathematics
Links
Bibliographic reference Van Schaftingen, Jean. Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation. In: Comptes Rendus. Mathématique, Vol. 361, no.G6, p. 1041-1049 (2023)
Permanent URL http://hdl.handle.net/2078.1/277986