Sharp capacitary estimates for rings in metric spaces
Metric Geometry
2013-04-23 v1
Abstract
We establish sharp estimates for the -capacity of metric rings with unrelated radii in metric measure spaces equipped with a doubling measure and supporting a Poincar\'e inequality. These estimates play an essential role in the study of the local behavior of \p-harmonic Green's functions.
Cite
@article{arxiv.0805.3830,
title = {Sharp capacitary estimates for rings in metric spaces},
author = {Nicola Garofalo and Niko Marola},
journal= {arXiv preprint arXiv:0805.3830},
year = {2013}
}