Balogh, Zoltán M., Rickly, Matthieu, and Serra Cassano, Francesco. "Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric.." Publicacions Matemàtiques 47.1 (2003): 237-259. <http://eudml.org/doc/41487>.
@article{Balogh2003,
abstract = {We compare the Hausdorff measures and dimensions with respect to the Euclidean and Heisenberg metrics on the first Heisenberg group. The result is a dimension jump described by two inequalities. The sharpness of our estimates is shown by examples. Moreover a comparison between Euclidean and H-rectifiability is given.},
author = {Balogh, Zoltán M., Rickly, Matthieu, Serra Cassano, Francesco},
journal = {Publicacions Matemàtiques},
keywords = {Distancia de Hausdorff; Dimensión de Hausdorff; Espacio euclídeo; Grupo de Heisenberg; Espacios métricos; Hausdorff measure; Heisenberg metric; rectifiability},
language = {eng},
number = {1},
pages = {237-259},
title = {Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric.},
url = {http://eudml.org/doc/41487},
volume = {47},
year = {2003},
}
TY - JOUR
AU - Balogh, Zoltán M.
AU - Rickly, Matthieu
AU - Serra Cassano, Francesco
TI - Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric.
JO - Publicacions Matemàtiques
PY - 2003
VL - 47
IS - 1
SP - 237
EP - 259
AB - We compare the Hausdorff measures and dimensions with respect to the Euclidean and Heisenberg metrics on the first Heisenberg group. The result is a dimension jump described by two inequalities. The sharpness of our estimates is shown by examples. Moreover a comparison between Euclidean and H-rectifiability is given.
LA - eng
KW - Distancia de Hausdorff; Dimensión de Hausdorff; Espacio euclídeo; Grupo de Heisenberg; Espacios métricos; Hausdorff measure; Heisenberg metric; rectifiability
UR - http://eudml.org/doc/41487
ER -
