A sharp lower bound for a class of non-local approximations of the total variation
Functional Analysis
2024-06-05 v2
Abstract
We study a class of non-local functionals that was introduced by Brezis-Seeger-Van Schaftingen-Yung (2022), and can be used to characterize functions of bounded variation. We give a new lower bound for the liminf of these functionals, involving the three different parts of the total variation, with sharp coefficients.
Keywords
Cite
@article{arxiv.2310.03550,
title = {A sharp lower bound for a class of non-local approximations of the total variation},
author = {Panu Lahti},
journal= {arXiv preprint arXiv:2310.03550},
year = {2024}
}