English

Sharp Besov capacity estimates for annuli in metric spaces with doubling measures

Metric Geometry 2023-10-06 v1 Analysis of PDEs

Abstract

We obtain precise estimates, in terms of the measure of balls, for the Besov capacity of annuli and singletons in complete metric spaces. The spaces are only assumed to be uniformly perfect with respect to the centre of the annuli and equipped with a doubling measure.

Keywords

Cite

@article{arxiv.2304.01803,
  title  = {Sharp Besov capacity estimates for annuli in metric spaces with doubling measures},
  author = {Anders Björn and Jana Björn},
  journal= {arXiv preprint arXiv:2304.01803},
  year   = {2023}
}