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On the existence of doubling measures with certain regularity properties
Bylund, Per; Gudayol i Torelló, Jaume
Universitat de Barcelona
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.
-Teoria de la mesura
-Set functions and measures
-Spaces with richer structures
-Dimension theory
(c) American Mathematical Society, 2000
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