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The best constants in the multiple Khintchine inequality. (English) Zbl 07116673
Summary: In this work, among other results, we provide the best constants of the multiple Khintchine inequality. This allows us to obtain the best constants of the mixed $$(\ell_{p/(p-1)}\ell_2)$$-Littlewood inequality, thus completing the estimates of the work started by Pellegrino [The optimal constants of the mixed $$(\ell_1,\ell_2)$$-Littlewood inequality. J Number Theory. 2016;160:11-18].
##### MSC:
 46B09 Probabilistic methods in Banach space theory 46G25 (Spaces of) multilinear mappings, polynomials 60B11 Probability theory on linear topological spaces
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##### References:
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