Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant (Q2710685)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant |
scientific article |
Statements
26 April 2001
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doubling measures
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Hausdorff distance
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Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant (English)
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The authors show that a subset of \(\mathbb{R}^n\) is well approximated by \(n\)-dimensional affine spaces (in the sense of Hausdorff distance) if and only if it supports a measure whose asymptotic doubling properties coincide with those of Lebesgue measure on \(\mathbb{R}^n\).
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