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lebesgue_measure [2013/09/04 18:16] nikolaj |
lebesgue_measure [2014/03/21 11:11] (current) |
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===== Lebesgue measure ===== | ===== Lebesgue measure ===== | ||

- | ==== Definition ==== | + | ==== Set ==== |

- | | @#88DDEE: $p\in \mathbb N$ | | + | | @#55CCEE: context | @#55CCEE: $p\in \mathbb N$ | |

- | | @#FFBB00: $\lambda^p\equiv\eta^p|_{\mathfrak{L}^p}$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\lambda^p\equiv\eta^p|_{\mathfrak{L}^p}$ | |

==== Discussion ==== | ==== 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. | $\lambda^p:\mathfrak{L}^p\to \overline{\mathbb{R}}$ is the restriction of [[Lebesgue outer measure]] to a domain which contains only actually measurable sets. | ||

- | ==== Context ==== | + | === Reference === |

+ | Wikipedia: [[http://en.wikipedia.org/wiki/Lebesgue_measure|Lebesgue measure]] | ||

+ | ==== Parents ==== | ||

=== Subset of === | === Subset of === | ||

[[Measure]] | [[Measure]] | ||

- | === Requirements === | + | === Context === |

[[Lebesgue measurable subsets of ℝⁿ]], [[Restricted image]] | [[Lebesgue measurable subsets of ℝⁿ]], [[Restricted image]] |