Poincaré inequalities and uniform rectifiability

  • Jonas Azzam

    University of Edinburgh, UK
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Abstract

We show that any -Ahlfors regular subset of supporting a weak -Poincaré inequality with respect to surface measure is uniformly rectifiable.

Cite this article

Jonas Azzam, Poincaré inequalities and uniform rectifiability. Rev. Mat. Iberoam. 37 (2021), no. 6, pp. 2161–2190

DOI 10.4171/RMI/1258