Robert \v Cern\'y
Local monotonicity of Hausdorff measures restricted to curves in $\Bbb R^n$

Comment.Math.Univ.Carolin. 50,1 (2009) 89-101.

Abstract:We give a sufficient condition for a curve $\gamma : \Bbb R \to \Bbb R^n$ to ensure that the $1$-dimensional Hausdorff measure restricted to $\gamma $ is locally monotone.

Keywords: monotone measure, monotonicity formula
AMS Subject Classification: 53A10, 49Q15, 28A75