Some inequalities for fractional Laplacians

We compare two types of fractional Laplacians: spectral (Navier) and restricted (Dirichlet) one, in a bounded smooth domain $\Omega$.
The talk is based on joint works with Roberta Musina, Italy:
https://arxiv.org/abs/1308.3606
https://arxiv.org/abs/1408.3568
https://arxiv.org/abs/1701.04425