2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154158For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space $H^1$ by means of atomic decomposition.5 pagesClassical Analysis and ODEsFunctional Analysis47B38, 42B10Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spacestext