Theorems · Theorem · measure theory

MeasureTheory.MemLp.locallyIntegrable

∀ {X : Type u_1} {ε : Type u_3} [inst : MeasurableSpace X] [inst_1 : TopologicalSpace X] [inst_2 : TopologicalSpace ε]
  [inst_3 : ContinuousENorm ε] {f : X → ε} {μ : MeasureTheory.Measure X} [MeasureTheory.IsLocallyFiniteMeasure μ]
  {p : ENNReal}, MeasureTheory.MemLp f p μ → 1 ≤ p → MeasureTheory.LocallyIntegrable f μ

Defined in

Mathlib.MeasureTheory.Function.LocallyIntegrable

Cited by

3 results in Mathlib

Foundations

Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceTopologicalSpaceContinuousENormMeasureTheory.IsLocallyFiniteMeasure