Local monotonicity of Hausdorff measures restricted to curves in ${ℝ}^n$

Černý, Robert. "Local monotonicity of Hausdorff measures restricted to curves in $\mathbb {R}^n$." Commentationes Mathematicae Universitatis Carolinae 50.1 (2009): 89-101. <http://eudml.org/doc/32483>.

@article{Černý2009,
abstract = {We give a sufficient condition for a curve $\gamma : \mathbb \{R\} \rightarrow \mathbb \{R\}^n$ to ensure that the $1$-dimensional Hausdorff measure restricted to $\gamma $ is locally monotone.},
author = {Černý, Robert},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {monotone measure; monotonicity formula; monotone measure; monotonicity formula},
language = {eng},
number = {1},
pages = {89-101},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Local monotonicity of Hausdorff measures restricted to curves in $\mathbb \{R\}^n$},
url = {http://eudml.org/doc/32483},
volume = {50},
year = {2009},
}

TY - JOUR
AU - Černý, Robert
TI - Local monotonicity of Hausdorff measures restricted to curves in $\mathbb {R}^n$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2009
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 1
SP - 89
EP - 101
AB - We give a sufficient condition for a curve $\gamma : \mathbb {R} \rightarrow \mathbb {R}^n$ to ensure that the $1$-dimensional Hausdorff measure restricted to $\gamma $ is locally monotone.
LA - eng
KW - monotone measure; monotonicity formula; monotone measure; monotonicity formula
UR - http://eudml.org/doc/32483
ER -