Corollary 1

Tag 08RT, permanent. Cite it as [Bourbaki, Tag 08RT].

Integration, chapter IV, § 3. LP spaces

— For a function $f$ to belong to $\mathscr{L}_F^p$ , it is necessary and sufficient that the function $|f|^{p-1} \cdot f$ belong to $\mathscr{L}_F^1$ .

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

Corollary 1, § 4

Cites

Nothing.