2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164213We prove sharp $L^p-L^q$ estimates for averaging operators along general polynomial curves in two and three dimensions. These operators are translation-invariant, given by convolution with the so-called affine arclength measure of the curve and we obtain universal bounds over the class of curves given by polynomials of bounded degree. Our method relies on a geometric inequality for general vector polynomials together with a combinatorial argument due to M. Christ. Almost sharp Lorentz space estimates are obtained as well.21 pages, with revised introduction and updated referencesClassical Analysis and ODEs42B10text