Minkowski’s Integral Inequality for Function Norms
نویسندگان
چکیده
Let ρ and λ be Banach function norms with the Fatou property. Then the generalized Minkowski integral inequality ρ(λ(f x)) ≤ M λ(ρ(f y)) holds for all measurable functions f (x, y) and some fixed constant M if and only if there exists 1 ≤ p ≤ ∞ such that λ is p–concave and ρ is p–convex.
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