2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137486We prove a Kahane-Khinchin type result with a few random vectors, which are distributed independently with respect to an arbitrary log-concave probability measure on $\R^n$. This is an application of small ball estimate and Chernoff's method, that has been recently used in the context of Asymptotic Geometric Analysis in [1], [2].Functional AnalysisKahane-Khinchin type Averagestext