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The converse theorem for Minkowski's inequality |
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| Authors: | Janusz Matkowski |
| Institution: | Institute of Mathematics, University of Zielona Góra, Podgórna 50, PL-65246 Zielona Góra, Poland |
| Abstract: | Let (Ω, Σ, μ) be a measure space and ?, ψ : (0, ∞) → (0, ∞) some bijective functions. Suppose that the functional  ?,ψ defined on class of μ-integrable simple functions χ : Ω → 0, ∞), μ({? : χ(?) > 0} > 0, by the formula  |
| Keywords: | 26D15 39B62 |
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