TY - JOUR
T1 - Finite curvature of arc length measure implies rectifiability: A new proof
AU - Tolsa, Xavier
PY - 2005/10/17
Y1 - 2005/10/17
N2 - If E ⊂ ℂ is a set with finite length and finite curvature, then E is rectifiable. This fact, proved by David and Léger in 1999, is one of the basic ingredients for the proof of Vitushkin's conjecture. In this paper we give another different proof of this result. Indiana University Mathematics Journal ©,.
AB - If E ⊂ ℂ is a set with finite length and finite curvature, then E is rectifiable. This fact, proved by David and Léger in 1999, is one of the basic ingredients for the proof of Vitushkin's conjecture. In this paper we give another different proof of this result. Indiana University Mathematics Journal ©,.
KW - Analytic capacity
KW - Curvature of measures
KW - Rectifiability
UR - https://ddd.uab.cat/record/115173
U2 - https://doi.org/10.1512/iumj.2005.54.2746
DO - https://doi.org/10.1512/iumj.2005.54.2746
M3 - Article
VL - 54
SP - 1075
EP - 1105
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
SN - 0022-2518
ER -