The weak-A∞ property of harmonic and p-harmonic measures implies uniform rectifiability

By S. Hofmann, Phi Le, J. M. Martell, Kaj Nyström. 2015

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Let $E\subset \ree$, $n\ge 2$, be an Ahlfors-David regular set of dimension $n$. We show that the weak-$A_\infty$ property of harmonic measure, for the open set$\Omega:= \ree\setminus E$, implies u ...

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8f96af219647e905f71eab2014886a623bee761f