On the existence of doubling measures with certain regularity properties

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76825Given 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 pagesClassical Analysis and ODEsPrimary 28C15; Secondary 54E45, 54F45On the existence of doubling measures with certain regularity propertiestext