The symmetric derivation basis measure and the packing measure

Meinershagen, Sandra

doi:10.1090/S0002-9939-1988-0947664-6

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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The symmetric derivation basis measure and the packing measure
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by Sandra Meinershagen

Proc. Amer. Math. Soc. 103 (1988), 813-814

DOI: https://doi.org/10.1090/S0002-9939-1988-0947664-6

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Abstract:

The packing measure as defined by S. J. Taylor for continuous, monotone functions $h$ and the measure generated by the symmetric derivation basis measure using $h$ are shown here to be the same for subsets of the real line.

References

Sandra Meinershagen, Derivation bases and the Hausdorff measure, Real Anal. Exchange 13 (1987/88), no. 1, 223–244. MR 923727
S. James Taylor and Claude Tricot, Packing measure, and its evaluation for a Brownian path, Trans. Amer. Math. Soc. 288 (1985), no. 2, 679–699. MR 776398, DOI 10.1090/S0002-9947-1985-0776398-8