Theorems · Theorem · functional analysis

MeasureTheory.eLpNorm_enorm_rpow

∀ {α : Type u_1} {ε : Type u_2} {m0 : MeasurableSpace α} {p : ENNReal} {q : ℝ} {μ : MeasureTheory.Measure α}
  [inst : ENorm ε] (f : α → ε),
  0 < q → MeasureTheory.eLpNorm (fun x => ‖f x‖ₑ ^ q) p μ = MeasureTheory.eLpNorm f (p * ENNReal.ofReal q) μ ^ q

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Basic

Cited by

2 results in Mathlib

Foundations

Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ENorm