Capacities and Hausdorff measures on metric spaces
Functional Analysis
2014-08-27 v1
Abstract
In this article, we show that in a -doubling space that supports a -Poincar\'e inequality and satisfies a chain condition, sets of -capacity zero have generalized Hausdorff -measure zero for
Keywords
Cite
@article{arxiv.1408.5892,
title = {Capacities and Hausdorff measures on metric spaces},
author = {Nijjwal Karak and Pekka Koskela},
journal= {arXiv preprint arXiv:1408.5892},
year = {2014}
}
Comments
10 pages. arXiv admin note: substantial text overlap with arXiv:1408.5718