Theorems · Definition · functional analysis

MeasureTheory.MemLp.toLp

{α : Type u_1} →
  {E : Type u_4} →
    {m : MeasurableSpace α} →
      {p : ENNReal} →
        {μ : MeasureTheory.Measure α} →
          [inst : NormedAddCommGroup E] → (f : α → E) → MeasureTheory.MemLp f p μ → ↥(MeasureTheory.Lp E p μ)

make an element of Lp from a function verifying MemLp

Defined in

Mathlib.MeasureTheory.Function.LpSpace.Basic

Cited by

70 results in Mathlib

Foundations

Depth 221 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroup