A sharp lower bound for a class of non-local approximations of the total variation
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866914822417809408 |
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| author | Lahti, Panu |
| author_facet | Lahti, Panu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03550 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A sharp lower bound for a class of non-local approximations of the total variation Lahti, Panu Functional Analysis 26B30, 26A46 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. |
| title | A sharp lower bound for a class of non-local approximations of the total variation |
| topic | Functional Analysis 26B30, 26A46 |
| url | https://arxiv.org/abs/2310.03550 |