A nonlinear variant of Ball’s Inequality

Duncan, Jennifer

doi:10.1090/tran/9127

A nonlinear variant of Ball’s Inequality
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by Jennifer Duncan;

Trans. Amer. Math. Soc. 378 (2025), 911-941

DOI: https://doi.org/10.1090/tran/9127

Published electronically: December 4, 2024

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Abstract:

We adapt an induction-on-scales argument of Bennett, Bez, Buschenhenke, Cowling, and Flock [Duke Math J. 169 (2020), pp. 3291–3338] to establish a global near-monotonicity statement for the nonlinear Brascamp–Lieb functional under a certain heat-flow, from which follows a global stability result for nonlinear Brascamp–Lieb inequalities under bounded perturbations.

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