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16. The fractional β-dimensional Hausdorff measure
16.1 Definition
Definition (β-dimensional Hausdorff measure) (1918). The (exterior) β-dimensional Hausdorff measure, denoted
, for a real number β ∊ [0, n], of any subset X of
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The fractional β-dimensional Hausdorff measure
The fractional β-dimensional Hausdorff measure
Lebesgue and Lebesgue-Hausdorff densities
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