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The least doubling constant of a metric measure space

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https://doi.org/10.5186/aasfm.2019.4457

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2019

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Suomalainen Tiedeakatemia
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https://hdl.handle.net/20.500.14352/91479

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Soria, J., & Tradacete, P. (2019). The least doubling constant of a metric measure space. Annales Fennici Mathematici, 44(2), 1015–1030. https://doi.org/10.5186/aasfm.2019.4457

Abstract

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

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