TY - JOUR
T1 - Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure
AU - Azzam, Jonas
AU - Hofmann, Steve
AU - Martell, José María
AU - Mayboroda, Svitlana
AU - Mourgoglou, Mihalis
AU - Tolsa, Xavier
AU - Volberg, Alexander
PY - 2016/4/1
Y1 - 2016/4/1
N2 - © 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.
AB - © 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.
U2 - 10.1016/j.crma.2016.01.012
DO - 10.1016/j.crma.2016.01.012
M3 - Article
SN - 1631-073X
VL - 354
SP - 351
EP - 355
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 4
ER -