Cheeger's differentiation theorem via the multilinear Kakeya inequality

David Bate, Ilmari Kangasniemi, Tuomas Orponen

Suppose that $(X,d,\mu )$ is a metric measure space of finite Hausdorff dimension and that, for every Lipschitz $f:X\to \mathbb{R}$, $\mathrm{Lip}(f,\cdot )$ is dominated…