Theorems · Theorem · functional analysis

MeasureTheory.MemLp.mul

∀ {α : Type u_1} {x : MeasurableSpace α} {𝕜 : Type u_2} [inst : NormedRing 𝕜] {μ : MeasureTheory.Measure α}
  {p q r : ENNReal} {f φ : α → 𝕜},
  MeasureTheory.MemLp f q μ → MeasureTheory.MemLp φ p μ → ∀ [hpqr : p.HolderTriple q r], MeasureTheory.MemLp (φ * f) r μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.CompareExp

Cited by

3 results in Mathlib

Foundations

Depth 216 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedRingENNReal.HolderTriple