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Pré-Publication, Document De Travail Année : 2023

A family of interpolation inequalities involving products of low-order derivatives

Résumé

Gagliardo-Nirenberg interpolation inequalities relate Lebesgue norms of iterated derivatives of a function. We present a generalization of these inequalities in which the low-order term of the right-hand side is replaced by a Lebesgue norm of a pointwise product of derivatives of the function.

Dates et versions

hal-04238075 , version 1 (11-10-2023)

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Citer

Frédéric Marbach. A family of interpolation inequalities involving products of low-order derivatives. 2023. ⟨hal-04238075⟩
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