On the existence of doubling measures with certain regularity properties
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- April 1998
- DOI:
- 10.48550/arXiv.math/9804070
- arXiv:
- arXiv:math/9804070
- Bibcode:
- 1998math......4070B
- Keywords:
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- Classical Analysis and ODEs;
- Primary 28C15;
- Secondary 54E45;
- 54F45
- E-Print:
- LaTeX2e file, 16 pages