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arXiv · 1806.06758

The least doubling constant of a metric measure space

Javier Soria·Pedro Tradacete
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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.

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Javier Soria, Pedro Tradacete. 2018-06-18. The least doubling constant of a metric measure space. https://arxiv.org/abs/1806.06758

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