Abstract
Let ρ and λ be Banach function norms with the Fatou property. Then the generalized Minkowski integral inequality ρ(λ(f x )) ≤ Mλ(ρ(f y )) holds for all measurable functions f(x,y) and some fixed constant M if and only if there exists 1 ≤ ρ ≤ ∞ such that λ is p-concave and ρ is p-convex.
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Dedicated to Professor Dr. A.C. Zaanen on the occasion of his eightieth birthday
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© 1995 Birkhäuser Verlag Basel/Switzerland
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Schep, A.R. (1995). Minkowski’s Integral Inequality for Function Norms. In: Huijsmans, C.B., Kaashoek, M.A., Luxemburg, W.A.J., de Pagter, B. (eds) Operator Theory in Function Spaces and Banach Lattices. Operator Theory Advances and Applications, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9076-2_16
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DOI: https://doi.org/10.1007/978-3-0348-9076-2_16
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