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2000

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/7706

On the existence of doubling measures with certain regularity properties

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Abstract

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

Subject

Teoria de la mesura

Subject (English)

Set functions and measures, Spaces with richer structures, Dimension theory

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Articles publicats en revistes (Matemàtiques i Informàtica)

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BYLUND, Per and GUDAYOL I TORELLÓ, Jaume. On the existence of doubling measures with certain regularity properties. Proceedings of the American Mathematical Society. 2000. Vol. 128, num. 11, pags. 3317-3327. ISSN 1088-6826. [consulted: 10 of August of 2026]. Available at: https://hdl.handle.net/2445/7706

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