$L^p$ isomorphisms for the fractional Laplacian on ${\mathbb{R}}^n$ and their application

Congming Li, Yugao Ouyang, Zixuan Wang

A classical theory of Amrouche, Girault and Giroire (1994) resolves the Laplace equation on ${\mathbb{R}}^n$ through an isomorphism between weighted Sobolev spaces. Inspired by their…