Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation

Van Schaftingen, Jean
(2023) Comptes rendus - Mathématique — Vol. 361, n° G6, p. 1041-1049 (2023)

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Abstract
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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Van Schaftingen, J. (2023). Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation. Comptes rendus - Mathématique, 361(G6), 1041-1049. https://doi.org/10.5802/crmath.463 (Original work published 2023)