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

4 votes
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Extending a $C^1$ function on $\mathbb R^n$ to a set of finite $\mathcal H^{n-2}$ measure

The claim holds under the much weaker assumption that the exceptional set satisfies $\mathcal H^{n-1}(E)=0$. Since the limits of $f$ and $\nabla f$ exist everywhere we get two continuous functions $F\ …
Jochen Wengenroth's user avatar