2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153082We show that for integral operators of general form the norm bounds in Lorentz spaces imply certain norm bounds for the maximal function. As a consequence, the a.e. convergence for the integral operators on the Lorentz spaces follows from the appropriate norm estimates.Classical Analysis and ODEsFunctional Analysistext