Poincaré Inequalities and Uniform Rectifiability

preprint2020arXivOpen access

We show that any $d$ -Ahlfors regular subset of $\mathbb{R}^{n}$ supporting a weak $(1,d)$ -Poincaré inequality with respect to surface measure is uniformly rectifiable.

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Poincaré Inequalities and Uniform Rectifiability

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