On Harmonic Measure and Rectifiability in Uniform Domains

Mihalis Mourgoglou

    Research output: Contribution to journalArticleResearch

    1 Citation (Scopus)

    Abstract

    © 2018, Mathematica Josephina, Inc. Let Ω ⊂ R d+1 , d≥ 1 , be a uniform domain with lower d-Ahlfors–David regular and d-rectifiable boundary. We show that if the d-Hausdorff measure H d | ∂Ω is locally finite, then H d | ∂Ω is absolutely continuous with respect to harmonic measure for Ω.
    Original languageEnglish
    Pages (from-to)1193-1205
    JournalJournal of Geometric Analysis
    Volume29
    DOIs
    Publication statusPublished - 15 Apr 2019

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