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arXiv · 2607.21864

Discrete nonlinear H\"older--Brascamp--Lieb inequalities: a local approach

Ben Johnsrude
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Abstract

We study nonlinear H\"older--Brascamp--Lieb inequalities over $\mathbb{Z}^n$. Our method embeds the integers into a suitable compactification, over which local H\"older--Brascamp--Lieb theory may be applied (e.g heat flow). Our main result is a bound for multilinear H\"older--Brascamp--Lieb functionals over suitable sublattices in $\mathbb{Z}^n$.

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Ben Johnsrude. 2026-07-23. Discrete nonlinear H\"older--Brascamp--Lieb inequalities: a local approach. https://arxiv.org/abs/2607.21864

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