English

Besicovitch and doubling type properties in metric spaces

Classical Analysis and ODEs 2022-06-22 v2

Abstract

We explore the relationship in metric spaces between different properties related to the Besicovitch covering theorem, and also consider weak versions of doubling, in connection to the non-uniqueness of centers and radii in arbitrary metric spaces.

Keywords

Cite

@article{arxiv.1902.02184,
  title  = {Besicovitch and doubling type properties in metric spaces},
  author = {J. M. Aldaz},
  journal= {arXiv preprint arXiv:1902.02184},
  year   = {2022}
}

Comments

12 pages. To appear, Hokkaido Mathematical Journal