On some pointwise inequalities involving nonlocal operators
Analysis of PDEs
2016-10-06 v2
Abstract
The purpose of this paper is three-fold: first, we survey on several known pointwise identities involving fractional operators; second, we propose a unified way to deal with those identities; third, we prove some new pointwise identities in different frameworks in particular geometric and infinite-dimensional ones.
Cite
@article{arxiv.1604.05665,
title = {On some pointwise inequalities involving nonlocal operators},
author = {Luis A. Caffarelli and Yannick Sire},
journal= {arXiv preprint arXiv:1604.05665},
year = {2016}
}