We provide explicit formulas in terms of the special function gamma for the best constants in nontensorial multilinear extensions of some classical integral inequalities due to Hilbert, Hardy, and Hardy-Littlewood-Polya.
Journal of Inequalities and Applications
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Bényi, Árpád and Oh, Tadahiro, "Best Constants for Certain Multilinear Integral Operators" (2006). Mathematics. Paper 1.
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