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lebesgue_measure [2013/09/05 00:28] nikolaj |
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| - | ===== Lebesgue measure ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $p\in \mathbb N$ | | ||
| - | | @#FFBB00: $\lambda^p\equiv\eta^p|_{\mathfrak{L}^p}$ | | ||
| - | |||
| - | ==== Discussion ==== | ||
| - | $\lambda^p:\mathfrak{L}^p\to \overline{\mathbb{R}}$ is the restriction of [[Lebesgue outer measure]] to a domain which contains only actually measurable sets. | ||
| - | === Reference === | ||
| - | Wikipedia: [[http://en.wikipedia.org/wiki/Lebesgue_measure|Lebesgue measure]] | ||
| - | ==== Context ==== | ||
| - | === Subset of === | ||
| - | [[Measure]] | ||
| - | === Requirements === | ||
| - | [[Lebesgue measurable subsets of ℝⁿ]], [[Restricted image]] | ||
