Documentation

Carleson.ToMathlib.MeasureTheory.Measure.Prod

theorem MeasureTheory.AEMeasurable.lintegral_prod_right' {α : Type u_1} {β : Type u_2} [MeasurableSpace α] [MeasurableSpace β] {μ : Measure α} {ν : Measure β} [SFinite ν] f : α × βENNReal (hf : AEMeasurable f (μ.prod ν)) :
AEMeasurable (fun (x : α) => ∫⁻ (y : β), f (x, y) ν) μ
theorem MeasureTheory.AEMeasurable.lintegral_prod_right {α : Type u_1} {β : Type u_2} [MeasurableSpace α] [MeasurableSpace β] {μ : Measure α} {ν : Measure β} [SFinite ν] {f : αβENNReal} (hf : AEMeasurable (Function.uncurry f) (μ.prod ν)) :
AEMeasurable (fun (x : α) => ∫⁻ (y : β), f x y ν) μ