2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64069We show that some singular maximal functions and singular Radon transforms satisfy a weak type $L\log\log L$ inequality. Examples include the maximal function and Hilbert transform associated to averages along a parabola. The weak type inequality yields pointwise convergence results for functions which are locally in $L\log\log L$.32 pagesClassical Analysis and ODEstext