Open Access
Fall 2008 Upper porous measures on metric spaces
Ville Suomala
Illinois J. Math. 52(3): 967-980 (Fall 2008). DOI: 10.1215/ijm/1254403725

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.

Citation

Download Citation

Ville Suomala. "Upper porous measures on metric spaces." Illinois J. Math. 52 (3) 967 - 980, Fall 2008. https://doi.org/10.1215/ijm/1254403725

Information

Published: Fall 2008
First available in Project Euclid: 1 October 2009

zbMATH: 1183.28009
MathSciNet: MR2546018
Digital Object Identifier: 10.1215/ijm/1254403725

Subjects:
Primary: 28A78
Secondary: 28A05 , 28A12

Rights: Copyright © 2008 University of Illinois at Urbana-Champaign

Vol.52 • No. 3 • Fall 2008
Back to Top