Theorems · Theorem · functional analysis
MeasureTheory.ae_le_eLpNormEssSup
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {ε : Type u_8} [inst : ENorm ε] {f : α → ε},
∀ᵐ (y : α) ∂μ, ‖f y‖ₑ ≤ MeasureTheory.eLpNormEssSup f μ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 173 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.
Cites10
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 · cited by 9,879
- Filter.Eventuallystatement · cited by 3,134
- MeasureTheory.aestatement · cited by 2,352
- ENorm.enormstatement · cited by 715
- ENormstatement and proof · cited by 155
- Filter.isBounded_le_of_topproof · cited by 75
- MeasureTheory.eLpNormEssSupstatement · cited by 59
- ae_le_essSupproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_le_lpNorm_exponent_topproof · cited by 2
- MeasureTheory.summable_norm_of_tsum_eLpNorm_ne_topproof · cited by 0
- MeasureTheory.eLpNormEssSup_lt_top_iff_isBoundedUnderproof · cited by 0