Comptes Rendus
no. 7
Partial differential equations/Functional analysis
Brézis–Gallouet–Wainger-type inequality with critical fractional Sobolev space and BMO
[Inégalité de type Brézis–Gallouet–Wainger pour un espace de Sobolev fractionnaire critique et BMO]

Présenté par : Haïm Brézis

Nguyen-Anh Dao1 ; Quoc-Hung Nguyen2
1 Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
2 Scuola Normale Superiore, Centro Ennio de Giorgi, Piazza dei Cavalieri 3, I-56100 Pisa, Italy
Comptes Rendus. Mathématique, Volume 356 (2018) no. 7, pp. 747-756.

In this paper, we prove the Brézis–Gallouet–Wainger-type inequality involving the BMO norm, the fractional Sobolev norm, and the logarithmic norm of C˙η, for η∈(0,1).

Dans cette Note, nous montrons l'inégalité de type Brézis–Gallouet–Wainger faisant intervenir la norme BMO, la norme fractionnaire de Sobolev et la norme logarithmique de C˙η, pour η∈(0,1).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.05.009

Nguyen-Anh Dao 1 ; Quoc-Hung Nguyen 2

1 Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
2 Scuola Normale Superiore, Centro Ennio de Giorgi, Piazza dei Cavalieri 3, I-56100 Pisa, Italy 
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Nguyen-Anh Dao; Quoc-Hung Nguyen. Brézis–Gallouet–Wainger-type inequality with critical fractional Sobolev space and BMO. Comptes Rendus. Mathématique, Volume 356 (2018) no. 7, pp. 747-756. doi : 10.1016/j.crma.2018.05.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.05.009/

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  • Anh Nguyen Dao; Nguyen Lam; Guozhen Lu Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-L∞ spaces, Proceedings of the American Mathematical Society, Volume 150 (2022) no. 7, pp. 2889-2900 | DOI:10.1090/proc/15691 | Zbl:1497.46035
  • Nguyen Anh Dao; Jesús Ildefonso Díaz; Quoc-Hung Nguyen Fractional Sobolev inequalities revisited: the maximal function approach, Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni, Volume 31 (2020) no. 1, pp. 225-236 | DOI:10.4171/rlm/887 | Zbl:1453.46032

Cité par 2 documents. Sources : zbMATH

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