Mutual Absolute Continuity of Interior and Exterior Harmonic Measure Implies Rectifiability

Jonas Azzam, Mihalis Mourgoglou, Xavier Tolsa

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Resum

© 2017 Wiley Periodicals, Inc. We show that, for disjoint domains in the euclidean space whose boundaries satisfy a nondegeneracy condition, mutual absolute continuity of their harmonic measures implies absolute continuity with respect to surface measure and rectifiability in the intersection of their boundaries. © 2017 Wiley Periodicals, Inc.
Idioma originalEnglish
Pàgines (de-a)2121-2163
RevistaCommunications on Pure and Applied Mathematics
Volum70
Número11
DOIs
Estat de la publicacióPublicada - 1 de nov. 2017

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