On the existence of doubling measures with certain regularity properties

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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.
LaTeX2e file, 16 pages

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Classical Analysis and ODEs, Primary 28C15; Secondary 54E45, 54F45

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http://salesiana.dossiersoluciones.com/handle/123456789/76825

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9804070
 http://arxiv.org/abs/math/9804070

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arXiv