On fractional Laplacians

Alexander I. Nazarov; Roberta Musina

arxiv: 1308.3606 · v2 · pith:67J6MUMZnew · submitted 2013-08-16 · 🧮 math.AP

On fractional Laplacians

Roberta Musina , Alexander I. Nazarov This is my paper

classification 🧮 math.AP

keywords fractionallaplacianscoincidencecompareconstantsdefinitedeltadifference

0 comments

read the original abstract

We compare two natural types of fractional Laplacians $(-\Delta)^s$, "Navier" and "Dirichlet" ones. We show that for $0<s<1$ their difference is positive definite and positivity preserving. Then we prove the coincidence of the Sobolev constants for these two fractional Laplacians.

This paper has not been read by Pith yet.

On fractional Laplacians

discussion (0)