Bourbaki

Corollary 2

Tag 09PE, permanent. Cite it as [Bourbaki, Tag 09PE].

Integration, chapter IX, § 2. Operations on measures

— Let ff be a numerical function defined on S×TS \times T and ν\nu-negligible. Then the function fs:t↦f(s,t)f_s : t \mapsto f(s, t) is μ\mu-negligible for λ\lambda-almost every s∈Ss \in S.

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

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Cites

Nothing.

Transcribed from the printed volume. Not translated.