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arXiv:1908.06420 [math.CA]AbstractReferencesReviewsResources

Poincaré Inequalities and Uniform Rectifiability

Jonas Azzam

Published 2019-08-18Version 1

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

Categories: math.CA, math.DG, math.MG
Subjects: 28A75, 28A78, 28A12, 46E35, 49J52, 53C23
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