Besicovitch-Morse type covering lemmas in metric spaces
Classical Analysis and ODEs
2021-07-12 v2 Differential Geometry
Abstract
The aims of this article is to generalize some useful Besicovitch-Morse type covering lemmas in complete Riemannian manifolds and try to find more spaces such that the so-called BCP and WBCP are equivalent while these two properties are weaker and still useful. We also get interest in the best constants of Besicovitch-type covering properties in Euclidean spaces and sorted out the best results of related problems before giving a new proof of Besicovitch covering theorem in the one-dimensional case.
Cite
@article{arxiv.2107.01342,
title = {Besicovitch-Morse type covering lemmas in metric spaces},
author = {Tong Zhang},
journal= {arXiv preprint arXiv:2107.01342},
year = {2021}
}