Theorems · Theorem · measure theory

MeasureTheory.lpNorm_norm

∀ {α : Type u_1} {E : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : NormedAddCommGroup E]
  {f : α → E},
  MeasureTheory.AEStronglyMeasurable f μ →
    ∀ (p : ENNReal), MeasureTheory.lpNorm (fun x => ‖f x‖) p μ = MeasureTheory.lpNorm f p μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.LpNorm

Cited by

2 results in Mathlib

Foundations

Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup