Theorems · Theorem · functional analysis

SchwartzMap.norm_toLp_top_le

∀ {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] {f : SchwartzMap E F} {μ : MeasureTheory.Measure E}
  [hμ : μ.HasTemperateGrowth], ‖f.toLp ⊤ μ‖ ≤ (SchwartzMap.seminorm ℝ 0 0) f

Defined in: Mathlib.Analysis.Distribution.SchwartzSpace.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace MeasurableSpace OpensMeasurableSpace SecondCountableTopologyEither MeasureTheory.Measure.HasTemperateGrowth

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coestatement and proof · cited by 62,936
Realstatement and proof · cited by 25,697
NormedAddCommGroupstatement and proof · cited by 15,752
MeasurableSpacestatement and proof · cited by 13,106
NormedSpacestatement and proof · cited by 12,499
MeasureTheory.Measurestatement and proof · cited by 10,939
ENNRealstatement and proof · cited by 9,879
Top.topstatement · cited by 9,680
Norm.normstatement · cited by 5,413
AddSubgroupstatement · cited by 3,232
ENNReal.ofRealproof · cited by 863
MeasureTheory.AEEqFunstatement · cited by 856

Cited by1

Results whose statement or proof uses this declaration.

SchwartzMap.norm_fourier_Lp_top_leq_toLp_oneproof · cited by 0