2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62050We establish local $(L^p,L^q)$ mapping properties for averages on curves. The exponents are sharp except for endpoints.37 pages, simplified argument (no further need for algebraic complexity theory!), to appear, JAMSClassical Analysis and ODEs42B15$L^p$ improving bounds for averages along curvestext