Nonsymmetric conical upper density and $k$-porosity
Classical Analysis and ODEs
2017-01-31 v1
Abstract
We study how the Hausdorff measure is distributed in nonsymmetric narrow cones in . As an application, we find an upper bound close to for the Hausdorff dimension of sets with large -porosity. With -porous sets we mean sets which have holes in different directions on every small scale.
Cite
@article{arxiv.1701.08577,
title = {Nonsymmetric conical upper density and $k$-porosity},
author = {Antti Käenmäki and Ville Suomala},
journal= {arXiv preprint arXiv:1701.08577},
year = {2017}
}