Mutual Absolute Continuity of Interior and Exterior Harmonic Measure Implies Rectifiability
نویسندگان
چکیده
منابع مشابه
Absolute Continuity between the Surface Measure and Harmonic Measure Implies Rectifiability
In the present paper we prove that for any open connected set Ω ⊂ R, n ≥ 1, and any E ⊂ ∂Ω with 0 < H(E) < ∞ absolute continuity of the harmonic measure ω with respect to the Hausdorff measure on E implies that ω|E is rectifiable. CONTENTS
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2017
ISSN: 0010-3640
DOI: 10.1002/cpa.21687