Theorems · Theorem · measure theory

MeasureTheory.MemLp.integrable_mul

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {𝕜 : Type u_8} [inst : NormedRing 𝕜]
  {p q : ENNReal} {f g : α → 𝕜},
  MeasureTheory.MemLp f p μ → MeasureTheory.MemLp g q μ → ∀ [p.HolderTriple q 1], MeasureTheory.Integrable (f * g) μ

Defined in

Mathlib.MeasureTheory.Function.L1Space.Integrable

Cited by

6 results in Mathlib

Foundations

Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedRingENNReal.HolderTriple