Theorems · Theorem · functional analysis

MeasureTheory.Lp.ker_toTemperedDistributionCLM_eq_bot

∀ {E : Type u_3} {F : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedAddCommGroup F]
  [inst_3 : NormedSpace ℂ F] [inst_4 : CompleteSpace F] [inst_5 : MeasurableSpace E] [inst_6 : BorelSpace E]
  {μ : MeasureTheory.Measure E} [hμ : μ.HasTemperateGrowth] [FiniteDimensional ℝ E]
  [MeasureTheory.IsLocallyFiniteMeasure μ] {p : ENNReal} [hp : Fact (1 ≤ p)],
  (↑(MeasureTheory.Lp.toTemperedDistributionCLM F μ p)).ker = ⊥

Defined in: Mathlib.Analysis.Distribution.TemperedDistribution
Cited by: 0 results in Mathlib
Foundations: Depth 303 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace CompleteSpace MeasurableSpace BorelSpace MeasureTheory.Measure.HasTemperateGrowth FiniteDimensional MeasureTheory.IsLocallyFiniteMeasure Fact

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