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Questions about Hausdorff measures, their variants (such as spherical Hausdorff measures) and generalisations.

7 votes
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Generalization of area and coarea formula for fractional Hausdorff measures

Let $X,Y$ be Polish spaces, $s,t>0$ and $F:X\to Y$ locally Lipschitz continuous such that $X$ is $\sigma$-finite w.r.t. the $(s+t)$-dimensional Hausdorff measure $\mathcal{H}^{s+t}$. The Eilenberg ine …