Theorems · Theorem · functional analysis

SchwartzMap.continuous_toLp

∀ {E : Type u_5} {F : Type u_6} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedAddCommGroup F]
  [inst_3 : NormedSpace ℝ F] [inst_4 : MeasurableSpace E] [inst_5 : OpensMeasurableSpace E]
  [inst_6 : SecondCountableTopologyEither E F] {p : ENNReal} [inst_7 : Fact (1 ≤ p)] {μ : MeasureTheory.Measure E}
  [hμ : μ.HasTemperateGrowth], Continuous fun f => f.toLp p μ

Defined in

Mathlib.Analysis.Distribution.SchwartzSpace.Basic

Cited by

0 results in Mathlib

Foundations

Depth 236 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceMeasurableSpaceOpensMeasurableSpaceSecondCountableTopologyEitherFactMeasureTheory.Measure.HasTemperateGrowth