Mass transference principle: from balls to arbitrary shapes
Classical Analysis and ODEs
2019-12-02 v3
Abstract
The mass transference principle, proved by Beresnevich and Velani in 2006, is a strong result that gives lower bounds for the Hausdorff dimension of limsup sets of balls. We present a version for limsup sets of open sets of arbitrary shape.
Cite
@article{arxiv.1812.08557,
title = {Mass transference principle: from balls to arbitrary shapes},
author = {Henna Koivusalo and Michał Rams},
journal= {arXiv preprint arXiv:1812.08557},
year = {2019}
}
Comments
13 pages