Theorems · Theorem · functional analysis

MeasureTheory.memLp_const_enorm

∀ {α : Type u_1} {m0 : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α} {ε' : Type u_7}
  [inst : TopologicalSpace ε'] [inst_1 : ContinuousENorm ε'] {c : ε'},
  ‖c‖ₑ ≠ ⊤ → ∀ [MeasureTheory.IsFiniteMeasure μ], MeasureTheory.MemLp (fun x => c) p μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Basic

Cited by

3 results in Mathlib

Foundations

Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceContinuousENormMeasureTheory.IsFiniteMeasure