# Differences

This shows you the differences between two versions of the page.

lebesgue_measure [2013/09/04 18:16] nikolaj |
lebesgue_measure [2014/03/21 11:11] |
||
---|---|---|---|

Line 1: | Line 1: | ||

- | ===== 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. | ||

- | ==== Context ==== | ||

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

- | [[Measure]] | ||

- | === Requirements === | ||

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