Theorems · Theorem · measure theory

MeasureTheory.eLpNorm_indicator_le

∀ {α : Type u_1} {m0 : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α} {ε : Type u_7}
  [inst : TopologicalSpace ε] [inst_1 : ESeminormedAddMonoid ε] {s : Set α} (f : α → ε),
  MeasureTheory.eLpNorm (s.indicator f) p μ ≤ MeasureTheory.eLpNorm f p μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Indicator

Cited by

4 results in Mathlib

Foundations

Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceESeminormedAddMonoid