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

Nguyen-Anh Dao; Quoc-Hung Nguyen

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arXiv · 1805.06672

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

Nguyen-Anh Dao·Quoc-Hung Nguyen

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Abstract

In this paper, we prove the Brezis-Gallouet-Wainger type inequality involving the BMO norm, the fractional Sobolev norm, and the logarithmic norm of $\mathcal{\dot{C}}^\eta$, for $\eta\in(0,1)$.

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Nguyen-Anh Dao, Quoc-Hung Nguyen. 2018-05-17. Brezis-Gallouet-Wainger type inequality with critical fractional Sobolev space and BMO. https://arxiv.org/abs/1805.06672

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