2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160847We prove a new variant of comparison principle for logarithmic $L_2$-small ball probabilities of Gaussian processes. As an application, we obtain logarithmic small ball asymptotics for some well-known processes with smooth covariances.Probability60G15; 60G60; 47A80text