The Besov Capacity In Metric Spaces
Functional Analysis
2016-08-03 v2
Abstract
We study a capacity theory based on a definition of Haj{\l} asz-Besov functions. We prove several properties of this capacity in the general setting of a metric space equipped with a doubling measure. The main results of the paper are lower bound and upper bound estimates for the capacity in terms of a modified Netrusov-Hausdorff content. Important tools are -medians, for which we also prove a new version of a Poincar\'e type inequality.
Keywords
Cite
@article{arxiv.1509.02068,
title = {The Besov Capacity In Metric Spaces},
author = {Juho Nuutinen},
journal= {arXiv preprint arXiv:1509.02068},
year = {2016}
}