Theorems · Definition · measure theory

MeasureTheory.indicatorConstLp

{α : Type u_1} →
  {E : Type u_2} →
    {m : MeasurableSpace α} →
      {μ : MeasureTheory.Measure α} →
        [inst : NormedAddCommGroup E] →
          {s : Set α} → (p : ENNReal) → MeasurableSet s → μ s ≠ ⊤ → E → ↥(MeasureTheory.Lp E p μ)

Indicator of a set as an element of Lp.

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Indicator

Cited by

64 results in Mathlib

Foundations

Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup