Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes
Analysis of PDEs
2021-05-17 v1 Probability
Abstract
We prove the existence of an extremal function in the Hardy-Littlewood-Sobolev inequality for the energy associated to an stable operator. To this aim we obtain a concentration-compactness principle for stable processes in .
Keywords
Cite
@article{arxiv.2105.06520,
title = {Extremals in Hardy-Littlewood-Sobolev inequalities for stable processes},
author = {Arturo de Pablo and Fernando Quirós and Antonella Ritorto},
journal= {arXiv preprint arXiv:2105.06520},
year = {2021}
}