Theorems · Definition · functional analysis

MeasureTheory.Integrable.toL1

{α : Type u_1} →
  {β : Type u_2} →
    {m : MeasurableSpace α} →
      {μ : MeasureTheory.Measure α} →
        [inst : NormedAddCommGroup β] → (f : α → β) → MeasureTheory.Integrable f μ → ↥(MeasureTheory.Lp β 1 μ)

Construct the equivalence class [f] of an integrable function f, as a member of the space Lp β 1 μ.

Defined in

Mathlib.MeasureTheory.Function.L1Space.AEEqFun

Cited by

58 results in Mathlib

Foundations

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

Assumes

NormedAddCommGroup