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Abstract

If μ is a doubling measure on a metric space X, then it is easy to see that X is doubling as defined in Section 10.13. On the other hand, not every doubling space carries a doubling measure.

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© 2001 Springer Science+Business Media New York

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Heinonen, J. (2001). Existence of Doubling Measures. In: Lectures on Analysis on Metric Spaces. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0131-8_13

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  • DOI: https://doi.org/10.1007/978-1-4613-0131-8_13

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6525-2

  • Online ISBN: 978-1-4613-0131-8

  • eBook Packages: Springer Book Archive

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