Theorems · Theorem · functional analysis

MeasureTheory.eLpNorm_count_lt_top_of_lt

∀ {α : Type u_1} {ε : Type u_2} [inst : MeasurableSpace α] [inst_1 : TopologicalSpace ε] [inst_2 : ContinuousENorm ε]
  {f : α → ε} {p : ENNReal} [Finite α],
  (∀ (i : α), ‖f i‖ₑ < ⊤) → MeasureTheory.eLpNorm f p MeasureTheory.Measure.count < ⊤

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Count

Cited by

1 results in Mathlib

Foundations

Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpaceContinuousENormFinite