Brezis-Gallouet-Wainger type inequality with critical fractional Sobolev space and BMO

Nguyen-Anh Dao, Quoc-Hung Nguyen

In this paper, we prove the Brezis-Gallouet-Wainger type inequality involving the BMO norm, the fractional Sobolev norm, and the logarithmic norm of ${\dot{\mathcal{C}}}^{\eta }$, for $η\i…