Theorems · Theorem · measure theory

MeasureTheory.eLpNorm_restrict_le

∀ {α : Type u_1} {m0 : MeasurableSpace α} {ε' : Type u_8} [inst : TopologicalSpace ε'] [inst_1 : ContinuousENorm ε']
  (f : α → ε') (p : ENNReal) (μ : MeasureTheory.Measure α) (s : Set α),
  MeasureTheory.eLpNorm f p (μ.restrict s) ≤ MeasureTheory.eLpNorm f p μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Indicator

Cited by

2 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceContinuousENorm