Sharp pointwise estimates for functions in the Sobolev spaces Hs(Rn)

Lineia Schutz, Juliana S. Ziebel, Janaina P. Zingano +1

We obtain the optimal value of the constant K(n,s) in the Sobolev-Nirenberg-Gagliardo inequality $ \|\,u\,\|_{L^{\infty}(\mathbb{R}^{n})} \leq K(n,s) \,\|\, u \,\|_{L^{2}(\mathbb{R…