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Results tagged with measure-theory
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user 91442
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
2
votes
Existence of subset with given Hausdorff dimension
The following is Corollary 7 of [1].
Theorem: For $X$ (an analytic subset of) a complete separable metric space, and $ s \in [0,\infty)$, the following is true about the Hausdorff measure $\mathcal{H …
- 622
5
votes
Generalization of area and coarea formula for fractional Hausdorff measures
There are several intersting consequences of this abstract viewpoint about these formulas. I also would have liked to discuss why the coarea inequality is the backbone of the coarea formula, but let m …
- 622