2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144325We consider multilinear averages in ergodic theory and harmonic analysis and prove their divergence in some range of $L^p$ spaces, with $p$ close enough to 1. We also prove that the trilinear Hilbert transform is unbounded in a similar range of $L^p$ spaces.12 pages, 0 figuresClassical Analysis and ODEsDynamical Systemstext