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arXiv · 1604.05665

On some pointwise inequalities involving nonlocal operators

Luis A. Caffarelli·Yannick Sire
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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.

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Luis A. Caffarelli, Yannick Sire. 2016-04-19. On some pointwise inequalities involving nonlocal operators. https://arxiv.org/abs/1604.05665

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