Accepted Paper
Inserted: 25 jul 2006
Last Updated: 15 sep 2007
Journal: J. Geom. Anal.
Year: 2006
Abstract:
Let $g$ be a $*R*^{1+k}$-valued Lipschitz map defined in $[a,b]$ and let $H$ be an integer number greater or equal to $2$. Then a sufficient condition, expressed in terms of further accessory Lipschitz maps, for the $C^H$-rectifiability of $g([a,b])$ is provided.
Keywords: Rectifiable sets, Geometric measure theory, Whitney extension theorem