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Singular measures and Hausdorff measures
Israel Journal of Mathematics, 1969An 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, 1982Johnson, Roy A., Rogers, C. A.
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\(\Gamma\) convergence of Hausdorff measures
2005Starting 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, 1984Johnson, Roy A., Rogers, C. A.
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Hausdorff Dimensions and Measures
2002Hausdorff 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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Triebel-Lizorkin capacity and hausdorff measure in metric spaces
Mathematica Slovaca, 2020Nijjwal Karak
exaly

