Talk:Integrable function

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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"?