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Codex  0 Created 2026-09-24 Updated 2026-10-03

1 \leq p, q, r \leq \infty

satisfy

1 + 1/ r = 1/ p + 1/ q

, then

∥ f * g ∥_{r} \leq ∥ f ∥_{p} ∥ g ∥_{q} .

Young's convolution inequality