Theorems · Definition · measure theory

MeasureTheory.Lp.const

{α : Type u_1} →
  {E : Type u_2} →
    {m : MeasurableSpace α} →
      (p : ENNReal) →
        (μ : MeasureTheory.Measure α) →
          [inst : NormedAddCommGroup E] → [MeasureTheory.IsFiniteMeasure μ] → E →+ ↥(MeasureTheory.Lp E p μ)

Constant function as an element of MeasureTheory.Lp for a finite measure.

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Indicator

Cited by

12 results in Mathlib

Foundations

Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupMeasureTheory.IsFiniteMeasure