Discrete nonlinear Hölder--Brascamp--Lieb inequalities: a local approach

2026/07/23 by Ben Johnsrude
#math.CA

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Abstract

We study nonlinear Hölder--Brascamp--Lieb inequalities over ℤⁿ. Our method embeds the integers into a suitable compactification, over which local Hölder--Brascamp--Lieb theory may be applied (e.g heat flow). Our main result is a bound for multilinear Hölder--Brascamp--Lieb functionals over suitable sublattices in ℤⁿ.

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