Discrete Reifenberg-type theorem
Classical Analysis and ODEs
2018-06-12 v2
Abstract
The paper proves that a bound on the averaged Jones' square function of a measure implies an upper bound on the measure. Various types of assumptions on the measure are considered. The theorem is a generalization of a result due to A. Naber and D. Valtorta in connection with measure bounds on the singular set of harmonic maps.
Cite
@article{arxiv.1612.02461,
title = {Discrete Reifenberg-type theorem},
author = {M. Miśkiewicz},
journal= {arXiv preprint arXiv:1612.02461},
year = {2018}
}
Comments
21 pages