Theorems · Theorem · functional analysis
MeasureTheory.eLpNormEssSup_mono_measure
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} {ε : Type u_7} [inst : TopologicalSpace ε]
[inst_1 : ContinuousENorm ε] (f : α → ε),
ν.AbsolutelyContinuous μ → MeasureTheory.eLpNormEssSup f ν ≤ MeasureTheory.eLpNormEssSup f μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasureTheory.Measure.AbsolutelyContinuousstatement and proof · cited by 325
- ContinuousENormstatement and proof · cited by 290
- Filter.isBounded_le_of_topproof · cited by 75
- MeasureTheory.eLpNormEssSupstatement · cited by 59
- Filter.isCobounded_le_of_botproof · cited by 58
- essSup_mono_measureproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_mono_measureproof · cited by 13