Theorems · Theorem · functional analysis

MeasureTheory.AEEqFun.eLpNorm_compMeasurePreserving

∀ {α : Type u_1} {E : Type u_4} {m0 : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup E] {β : Type u_8} {mβ : MeasurableSpace β} {f : α → β} {ν : MeasureTheory.Measure β}
  (g : β →ₘ[ν] E) (hf : MeasureTheory.MeasurePreserving f μ ν),
  MeasureTheory.eLpNorm (↑(g.compMeasurePreserving f hf)) p μ = MeasureTheory.eLpNorm (↑g) p ν

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Basic

Cited by

2 results in Mathlib

Foundations

Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup