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On the existence of doubling measures with certain regularity properties

Per Bylund·Jaume Gudayol
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Abstract

Given a compact pseudo-metric space, we associate to it upper and lower dimensions, depending only on the metric. Then we construct a doubling metric for which the measure of a dillated ball is closely related to these dimensions.

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Per Bylund, Jaume Gudayol. 1998-04-14. On the existence of doubling measures with certain regularity properties. https://arxiv.org/abs/math/9804070

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