Theorems · Theorem · functional analysis
SchwartzMap.toLp.congr_simp
∀ {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 f_1 : SchwartzMap E F),
f = f_1 → ∀ (p : ENNReal) (μ : MeasureTheory.Measure E) [hμ : μ.HasTemperateGrowth], f.toLp p μ = f_1.toLp p μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- AddSubgroupstatement · cited by 3,232
- MeasureTheory.AEEqFunstatement · cited by 856
- MeasureTheory.Lpstatement · cited by 715
- OpensMeasurableSpacestatement and proof · cited by 636
- SchwartzMapstatement and proof · cited by 251
- SecondCountableTopologyEitherstatement and proof · cited by 117
Cited by1
Results whose statement or proof uses this declaration.
- SchwartzMap.toLp_fourierInv_eqproof · cited by 0