Theorems · Theorem · functional analysis
SchwartzMap.norm_fourier_Lp_top_leq_toLp_one
∀ {V : Type u_3} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : FiniteDimensional ℝ V]
[inst_3 : MeasurableSpace V] [inst_4 : BorelSpace V] {F : Type u_4} [inst_5 : NormedAddCommGroup F]
[inst_6 : NormedSpace ℂ F] (f : SchwartzMap V F),
‖(FourierTransform.fourier f).toLp ⊤ MeasureTheory.volume‖ ≤ ‖f.toLp 1 MeasureTheory.volume‖- Cited by
- 0 results in Mathlib
- Foundations
- Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound
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- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
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- ENNRealstatement · cited by 9,879
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- Complexstatement and proof · cited by 5,565
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- InnerProductSpacestatement and proof · cited by 3,523
- AddSubgroupstatement · cited by 3,232
- LE.le.transproof · cited by 3,151
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