Resumen de Harmonic measure and approximation of uniformly rectifiable sets

Simon Bortz, Steve Hofmann

• Let E⊂Rn+1, n≥1, be a uniformly rectifiable set of dimension nn. We show E that has big pieces of boundaries of a class of domains which satisfy a 2-sided corkscrew condition, and whose connected components are all chord-arc domains (with uniform control of the various constants). As a consequence, we deduce that E has big pieces of sets for which harmonic measure belongs to weak-A∞.