Theorems · Theorem · functional analysis
MeasureTheory.eLpNormEssSup_const
∀ {α : Type u_1} {ε : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : ENorm ε] (c : ε),
μ ≠ 0 → MeasureTheory.eLpNormEssSup (fun x => c) μ = ‖c‖ₑ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ENorm
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- ENorm.enormstatement and proof · cited by 715
- ENormstatement and proof · cited by 155
- MeasureTheory.eLpNormEssSupstatement · cited by 59
- MeasureTheory.eLpNormEssSup_eq_essSup_enormproof · cited by 2
- essSup_constproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_constproof · cited by 5
- MeasureTheory.eLpNormEssSup_indicator_const_leproof · cited by 2
- MeasureTheory.MemLp.prodproof · cited by 1