Theorems · Theorem · functional analysis
MeasureTheory.eLpNorm_enorm
∀ {α : Type u_1} {ε : Type u_2} {m0 : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α} [inst : ENorm ε]
(f : α → ε), MeasureTheory.eLpNorm (fun x => ‖f x‖ₑ) p μ = MeasureTheory.eLpNorm f p μ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 208 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.
Cites9
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 · cited by 715
- Filter.Eventually.of_forallproof · cited by 526
- MeasureTheory.eLpNormstatement · cited by 329
- ENormstatement and proof · cited by 155
- MeasureTheory.eLpNorm_congr_enorm_aeproof · cited by 3
- enorm_enormproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.MemLp.enormproof · cited by 1
- MeasureTheory.memLp_enorm_iffproof · cited by 1