Theorems · Theorem · measure theory

MeasureTheory.eLpNormEssSup_trim

∀ {α : Type u_1} {ε : Type u_3} {m m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : TopologicalSpace ε]
  [inst_1 : ContinuousENorm ε] (hm : m ≤ m0) {f : α → ε},
  MeasureTheory.StronglyMeasurable f → MeasureTheory.eLpNormEssSup f (μ.trim hm) = MeasureTheory.eLpNormEssSup f μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Trim

Cited by

1 results in Mathlib

Foundations

Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceContinuousENorm