Characterization of the upper Assouad codimension
Classical Analysis and ODEs
2023-11-22 v1 Analysis of PDEs
Abstract
We present a new notion, the upper Aikawa codimension, and establish its equivalence with the upper Assouad codimension in a metric space with a doubling measure. To achieve this result, we first prove variant of a local fractional Hardy inequality.
Keywords
Cite
@article{arxiv.2311.12748,
title = {Characterization of the upper Assouad codimension},
author = {Josh Kline and Antti V. Vähäkangas},
journal= {arXiv preprint arXiv:2311.12748},
year = {2023}
}