Fatou-Lebesgue theorem
Let be a measure space. If is a nonnegative function with , and if is a sequence of measurable functions such that for each , then
are both integrable, and
Title | Fatou-Lebesgue theorem |
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Canonical name | FatouLebesgueTheorem |
Date of creation | 2013-03-22 13:12:53 |
Last modified on | 2013-03-22 13:12:53 |
Owner | Koro (127) |
Last modified by | Koro (127) |
Numerical id | 7 |
Author | Koro (127) |
Entry type | Theorem |
Classification | msc 28A20 |
Related topic | FatousLemma |