Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation
We prove Gagliardo–Nirenberg interpolation inequalities estimating the Sobolev semi-norm in terms of the bounded mean oscillation semi-norm and of a Sobolev semi-norm, with some of the Sobolev semi-norms having fractional order.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-09-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.463/ |
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| _version_ | 1825206261447131136 |
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| author | Van Schaftingen, Jean |
| author_facet | Van Schaftingen, Jean |
| author_sort | Van Schaftingen, Jean |
| collection | DOAJ |
| description | We prove Gagliardo–Nirenberg interpolation inequalities estimating the Sobolev semi-norm in terms of the bounded mean oscillation semi-norm and of a Sobolev semi-norm, with some of the Sobolev semi-norms having fractional order. |
| format | Article |
| id | doaj-art-b663e4403cf04aa8a5537cc0baeb466d |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-b663e4403cf04aa8a5537cc0baeb466d2025-02-07T11:09:17ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-09-01361G61041104910.5802/crmath.46310.5802/crmath.463Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillationVan Schaftingen, Jean0https://orcid.org/0000-0002-5797-9358Université catholique de Louvain, Institut de Recherche en Mathématique et Physique, Chemin du Cyclotron 2 bte L7.01.01, 1348 Louvain-la-Neuve, BelgiumWe prove Gagliardo–Nirenberg interpolation inequalities estimating the Sobolev semi-norm in terms of the bounded mean oscillation semi-norm and of a Sobolev semi-norm, with some of the Sobolev semi-norms having fractional order.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.463/ |
| spellingShingle | Van Schaftingen, Jean Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation Comptes Rendus. Mathématique |
| title | Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation |
| title_full | Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation |
| title_fullStr | Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation |
| title_full_unstemmed | Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation |
| title_short | Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation |
| title_sort | fractional gagliardo nirenberg interpolation inequality and bounded mean oscillation |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.463/ |
| work_keys_str_mv | AT vanschaftingenjean fractionalgagliardonirenberginterpolationinequalityandboundedmeanoscillation |