2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156555We investigate the Bilinear Hilbert Transform in the plane and the pointwise convergence of bilinear averages in Ergodic theory, arising from $\Z^2$ actions. Our techniques combine novel one and a half dimensional phase-space analysis with more standard one dimensional theory.46 pages, 0 figuresClassical Analysis and ODEsDynamical Systems42B20; 37A05text