Illinois Journal of Mathematics

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.

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Primary Subjects: 28A78
Secondary Subjects: 28A05, 28A12
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.ijm/1254403725
Zentralblatt MATH identifier: 05615679
Mathematical Reviews number (MathSciNet): MR2546018

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