Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure

Jonas Azzam, Steve Hofmann, José María Martell, Svitlana Mayboroda, Mihalis Mourgoglou, Xavier Tolsa, Alexander Volberg

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

© 2016 Académie des sciences. In the present paper, we sketch the proof of the fact that for any open connected set Ω⊂Rn+1, n≥1, and any E⊂∂Ω with 0<Hn(E)<∞, absolute continuity of the harmonic measure ω with respect to the Hausdorff measure on E implies that ωE is rectifiable.
Original languageEnglish
Pages (from-to)351-355
JournalComptes Rendus Mathematique
Volume354
Issue number4
DOIs
Publication statusPublished - 1 Apr 2016

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