Scale-invariant boundary Harnack principle on inner uniform domains in fractal-type spaces
Probability
2014-06-09 v2
Abstract
We prove a scale-invariant boundary Harnack principle for inner uni- form domains in metric measure Dirichlet spaces. We assume that the Dirichlet form is symmetric, strongly local, regular, and that the volume doubling property and two-sided sub-Gaussian heat kernel bounds are satisfied. We make no assumptions on the pseudo-metric induced by the Dirichlet form, hence the underlying space can be a fractal space.
Keywords
Cite
@article{arxiv.1201.2236,
title = {Scale-invariant boundary Harnack principle on inner uniform domains in fractal-type spaces},
author = {Janna Lierl},
journal= {arXiv preprint arXiv:1201.2236},
year = {2014}
}