Theorems · Theorem · functional analysis
MeasurableEmbedding.eLpNormEssSup_map_measure
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {ε : Type u_7} [inst : TopologicalSpace ε]
[inst_1 : ContinuousENorm ε] {β : Type u_8} {mβ : MeasurableSpace β} {f : α → β} {g : β → ε},
MeasurableEmbedding f →
MeasureTheory.eLpNormEssSup g (MeasureTheory.Measure.map f μ) = MeasureTheory.eLpNormEssSup (g ∘ f) μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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.mapstatement · cited by 858
- ContinuousENormstatement and proof · cited by 290
- MeasurableEmbeddingstatement and proof · cited by 170
- Filter.isBounded_le_of_topproof · cited by 75
- MeasureTheory.eLpNormEssSupstatement · cited by 59
- Filter.isCobounded_le_of_botproof · cited by 58
- MeasurableEmbedding.essSup_map_measureproof · cited by 2
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