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 November 8th, 2016, 06:17 AM #1 Newbie   Joined: Dec 2014 From: Italy Posts: 5 Thanks: 0 Why is this relation with Hausdorff measure true? I have found this formula: $$\mathcal{H}^{n-m}(\{\lambda u| \;0<\lambda\leq\rho, u\in \mathbb{S}^{n-1} \})=\frac{\rho^{n-m}}{n-m} \int_{\mathbb{S}^n} d\mathcal{H}^{n-m-1}(u),$$ I think that this is a consequence of Fubini theorem, but I don't understand where the term $\frac{\rho^{n-m}}{n-m}$ come from. I'm a bit confused. Can someone help me? Thank you!

 Tags hausdorf, hausdorff, measure, relation, true

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