On dimension of porous measures

We introduce a notion of mean porosity for measures and obtain dimensional bounds for mean-porous and porous measures. As a corollary we generalize to all porous Borel measures the estimate obtained recently by J.-P. Eckmann, E. Järvenpää, and M. Järvenpää for porous measures satisfying the doubling...

Description complète

Détails bibliographiques
Auteurs principaux: Beliaev, D, Smirnov, S
Format: Journal article
Langue:English
Publié: 2002