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Results tagged with measure-theory
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user 102107
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
0
votes
2
answers
77
views
"Kind of Duality result" for the volume of a $d$-ball
I want to prove the following "duality" and don't know how to get started... Does it have anything to with covering theorems?
$\limsup_{r\rightarrow0} \sup_{y \in B_r (x)} V^{-1} \int_{B_r (y)}f \mat …
- 141
4
votes
0
answers
354
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Lipschitz kernel
We consider the following probability measure on $\mathbb{R}^2$:
$\mu = Leb\vert_{[0,1]} \times \delta_0$. Furthermore the following dilation, say $d$, is defined as $(x,0) \mapsto \frac{1}{2}(\delta_ …
- 141