2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59661We consider $k$-dimensional central sections of the unit ball of $\ell_p^n$ (denoted $B_p^n$) and we prove that their volume are bounded by the volume of $B_p^n$ whenever $1<p<2$ and $1\le k\le (n-1)/2$ or $k=n-1$. We also consider $0<p<1$ and other cases. We obtain sharp inequalities involving Gamma Function in order to get these results.10 pagesFunctional Analysis52A20; 33B15; 46B20text