Theorems · Theorem · measure theory
MeasureTheory.eLpNorm_star
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {R : Type u_5} [inst : NormedAddCommGroup R]
[inst_1 : StarAddMonoid R] [NormedStarGroup R] {p : ENNReal} {f : α → R},
MeasureTheory.eLpNorm (star f) p μ = MeasureTheory.eLpNorm f p μ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Norm.normproof · cited by 5,413
- Star.starstatement · cited by 1,082
- Filter.Eventually.of_forallproof · cited by 526
- MeasureTheory.eLpNormstatement · cited by 329
- StarAddMonoidstatement and proof · cited by 296
- NormedStarGroupstatement and proof · cited by 54
- norm_starproof · cited by 16
- MeasureTheory.eLpNorm_congr_norm_aeproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.MemLp.starproof · cited by 0
- MeasureTheory.AEEqFun.eLpNorm_starproof · cited by 0