The best constants in the Multiple Khintchine Inequality

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}.

16 pages

References in corpus (1)

• Towards sharp Bohnenblust--Hille constants