The best constants in the multiple Khintchine inequality

摘要

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-Littlewood inequality, thus completing the estimates of the work started by Pellegrino [The optimal constants of the mixed -Littlewood inequality. J Number Theory. 2016;160:11-18].