## Definitions

Sorry, no definitions found. Check out and contribute to the discussion of this word!

## Etymologies

Sorry, no etymologies found.

## Support

Help support Wordnik (and make this page ad-free) by adopting the word fatou's lemma.

## Examples

Sorry, no example sentences found.

sionnach commented on the word fatou's lemma

If f1, f2, . . . is a sequence of non-negative measurable functions defined on a measure space (S,Σ,μ), then

Note: On the left-hand side the limit inferior of the fn is taken pointwise. The functions are allowed to attain the value infinity and the integrals may also be infinite.

The way to remember the sense of the inequality, obviously, is to note that the part that looks "Slim" is the smaller part, and therefore appears on the L.H.S. of the '<' sign. Got that, my little cupcakes?

March 23, 2009

qroqqa commented on the word fatou's lemma

Oh phooey, it's an img. I thought you'd found some clever way of doing it in HTML.

March 23, 2009