Poincar\'e Inequalities and Uniform Rectifiability
Classical Analysis and ODEs
2020-09-10 v5 Differential Geometry
Metric Geometry
Abstract
We show that any -Ahlfors regular subset of supporting a weak -Poincar\'e inequality with respect to surface measure is uniformly rectifiable.
Keywords
Cite
@article{arxiv.1908.06420,
title = {Poincar\'e Inequalities and Uniform Rectifiability},
author = {Jonas Azzam},
journal= {arXiv preprint arXiv:1908.06420},
year = {2020}
}
Comments
Corrected definition of MS property, to appear in Revista Matematica Iberoamericana