Metrics and Uniform Harnack Inequality on the Strichartz Hexacarpet
Functional Analysis
2019-11-11 v2
Abstract
We construct \emph{intrinsic} metrics on the Strichartz hexacarpet using weight functions and show that these metrics do \emph{not} satisfy the chain condition. We give uniform Harnack inequality on the approximating graphs of the Strichartz hexacarpet with respect to the intrinsic metrics instead of graph metrics.
Keywords
Cite
@article{arxiv.1909.00208,
title = {Metrics and Uniform Harnack Inequality on the Strichartz Hexacarpet},
author = {Meng Yang},
journal= {arXiv preprint arXiv:1909.00208},
year = {2019}
}
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16 pages