Talk:Integrable function

Should p be restricted to $p\geq 1$ for $L^{p}$-spaces?

Well, its a well defined set for any $p\geq 0$, its just not a Banach space. p between 0 and 1 appears in Hardy space theory, and $L^{0}$ appears occasionally in uniqueness theory. So I guess we can leave the text as it is. Gadykozma 22:27, 6 Oct 2004 (UTC)

"measurable space X with a sigma-algebra σ"?

The measurable space is the pair (X, σ) so this is wrong. I'm changing it to "set X with..." but I'm not sure if it's best. Is "measure space (X, σ, μ)" better, or "measurble space (X, σ) and a measure μ"?