Harmonic Measure Is Rectifiable If It Is Absolutely Continuous with Respect to the Co-dimension One Hausdorff Measure

نویسنده

  • JONAS AZZAM
چکیده

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 < H(E) < ∞, absolute continuity of the harmonic measure ω with respect to the Hausdorff measure on E implies that ω|E is rectifiable.

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تاریخ انتشار 2015