Theorems · Theorem · real analysis
NNReal.summable_mul_of_Lp_Lq
∀ {ι : Type u} {f g : ι → NNReal} {p q : ℝ},
p.HolderConjugate q → (Summable fun i => f i ^ p) → (Summable fun i => g i ^ q) → Summable fun i => f i * g i- Defined in
- Mathlib.Analysis.MeanInequalities
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NNRealstatement and proof · cited by 4,310
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Summablestatement and proof · cited by 778
- Real.HolderConjugatestatement and proof · cited by 78
- NNReal.summable_and_inner_le_Lp_mul_Lq_tsumproof · cited by 3
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