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Singular measures and Hausdorff measures

Israel Journal of Mathematics, 1969
An example is given of a family of singular probability measures on the unit interval which are supported on a set of fractional Hausdorff dimension but cannot be represented as Hausdorff measures.
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Hausdorff Measure and Local Measure

Journal of the London Mathematical Society, 1982
Johnson, Roy A., Rogers, C. A.
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\(\Gamma\) convergence of Hausdorff measures

2005
Starting from the Golab Theorem, which states that in a metric space \((Q,d)\) the Hausdorff measure \({\mathcal H}^1_d\), when restricted to the class of the compact connected subsets of \(Q\), is lower semicontinuous for the Hausdorff distance between sets, it is shown that actually a more general result holds for the \(\Gamma\)-convergence of ...
BUTTAZZO, GIUSEPPE, B. SCHWEIZER
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Hausdorff Measure and Local Measure, II

Journal of the London Mathematical Society, 1984
Johnson, Roy A., Rogers, C. A.
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Hausdorff Dimensions and Measures

2002
Hausdorff measures can be thought of as extensions of Lebesgue’s measure. While a rather abstract treatment is possible, we restrict our attention to such measures on Euclidean spaces.
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Hausdorff Measure

1995
Jean Michel Morel, Sergio Solimini
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HAUSDORFF MEASURES

Bulletin of the London Mathematical Society, 1972
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Measures of Hausdorff Type

Journal of the London Mathematical Society, 1969
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