Resumen de A modular convergence theorem for certain nonlinear operators with homogeneus kernel

Carlo Bardaro, Gianluca Vinti

• Here we give modular estimates for nonlinear integral operators of the form $(Tf)(s) = \int_GK(s, t, f(t))dt$ in Orlicz spaces. Namely we obtain an estimate for the error of approximation $T f - f$ and as a consequence we state the main result, i.e. $(T_wf - f)\stackrel{\mathcal{VW}}{\longrightarrow}0$ with $w\in\mathcal{W}$.