On the existence of doubling measures with certain regularity properties

Details On the existence of doubling measures with certain regularity properties On the existence of doubling measures with certain regularity properties

1998-04-14

arxiv.org/abs/math/9804070v1

Mathematics

Classical Analysis and ODEs

LaTeX2e file, 16 pages

Scientific paper

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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