Comptes Rendus
no. 7
Partial differential equations/Functional analysis
Brézis–Gallouet–Wainger-type inequality with critical fractional Sobolev space and BMO

Presented by: 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).

Received:
Accepted:
Published online:
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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