A new characterization of chord-arc domains

Jonas Azzam, Steve Hofmann, José María Martell +2

We show that if $\Omega \subset {\mathbb{R}}^{n+1}$, $n\ge 1$, is a uniform domain (aka 1-sided NTA domain), i.e., a domain which enjoys interior Corkscrew and Harnack Chain conditions, t…