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arxiv: 1704.01029 · v4 · pith:LQ7CTXMSnew · submitted 2017-04-04 · 🧮 math.FA

The best constants in the Multiple Khintchine Inequality

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In this work we provide the best constants of the multiple Khintchine inequality. This allows us, among other results, to obtain the best constants of the mixed $\left( \ell_{\frac{p}{p-1}},\ell_{2}\right) $-Littlewood inequality, thus ending completely a work started by Pellegrino in \cite{pell}.

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