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arXiv · 1704.01029

The best constants in the Multiple Khintchine Inequality

Daniel Núñez-Alarcón·Diana M. Serrano-Rodríguez
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Abstract

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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Daniel Núñez-Alarcón, Diana M. Serrano-Rodríguez. 2017-04-04. The best constants in the Multiple Khintchine Inequality. https://doi.org/10.1080/03081087.2018.1491523

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