Abstract
© 2019 by Johns Hopkins University Press. We show that, for disjoint domains in the Euclidean space, mutual absolute continuity of their harmonic measures implies absolute continuity with respect to surface measure and rectifiability in the intersection of their boundaries. This improves on our previous result which assumed that the boundaries satisfied the capacity density condition.
Original language | English |
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Pages (from-to) | 1259-1279 |
Journal | American Journal of Mathematics |
Volume | 141 |
DOIs | |
Publication status | Published - 1 Oct 2019 |