2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114252In this work, we prove that weak compactness of composition operator on $H^{1}(U^{n})$ coincides with its compactness. We also characterize bounded and compact composition operators on $H^{1}(U^{n}).$\8 pagesComplex VariablesFunctional Analysis47B33; 47B38A note on composition operators on Hardy spaces of the polydisktext