Upper porous measures on metric spaces
Ville Suomala
Source: Illinois J. Math. Volume 52, Number 3 (2008), 967-980.
Abstract
We show how a standard method of geometric measure theory for providing density estimates may be used in general metric spaces to obtain information on the upper porosity of packing type measures. We also obtain a connection between lower densities and the upper porosity of measures on Euclidean spaces.
Primary Subjects: 28A78
Secondary Subjects: 28A05, 28A12
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ijm/1254403725
Zentralblatt MATH identifier:
05615679
2009 © University of Illinois at Urbana-Champaign, Department of Mathematics
Illinois Journal of Mathematics
