Theorems · Theorem · measure theory
MeasureTheory.eLpNormEssSup_const_smul
∀ {α : Type u_1} {F : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : NormedAddCommGroup F]
{𝕜 : Type u_3} [inst_1 : NormedDivisionRing 𝕜] [inst_2 : Module 𝕜 F] [NormSMulClass 𝕜 F] (c : 𝕜) (f : α → F),
MeasureTheory.eLpNormEssSup (c • f) μ = ‖c‖ₑ * MeasureTheory.eLpNormEssSup f μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- ENorm.enormstatement and proof · cited by 715
- NormedDivisionRingstatement and proof · cited by 360
- NormSMulClassstatement and proof · cited by 107
- essSupproof · cited by 69
- MeasureTheory.eLpNormEssSupstatement · cited by 59
- enorm_smulproof · cited by 14
- ENNReal.essSup_const_mulproof · cited by 4
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