The least doubling constant of a metric measure space

Javier Soria; Pedro Tradacete

The least doubling constant of a metric measure space

Classical Analysis and ODEs 2019-02-04 v2

Authors: Javier Soria , Pedro Tradacete

Abstract

We study the least doubling constant $C_{(X,d)}$ , among all doubling measures $\mu$ supported on a metric space $(X,d)$ . In particular, we prove that for every metric space with more than one point, $C_{(X,d)}\ge 2$ . We also describe some further properties of $C_{(X,d)}$ and compute its value for several important examples.

Keywords

doubling constant metric measure space doubling measure metric space

Cite

@article{arxiv.1806.06758,
  title  = {The least doubling constant of a metric measure space},
  author = {Javier Soria and Pedro Tradacete},
  journal= {arXiv preprint arXiv:1806.06758},
  year   = {2019}
}

Comments

16 pages. Theorem 3.1 has been included improving previous estimates for general metric spaces, and therefore some partial results from the older version have been removed

The least doubling constant of a metric measure space

Abstract

Keywords

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