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arXiv:2310.03550 [math.FA]AbstractReferencesReviewsResources

A sharp lower bound for a class of non-local approximations of the total variation

Panu Lahti

Published 2023-10-05Version 1

We study a class of non-local functionals that was introduced by Brezis et al. (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.

Categories: math.FA
Subjects: 26B30, 26A46
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