2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67926We study the boundedness problem for maximal operators in 3-dimensional Euclidean space associated to hypersurfaces given as the graph of $c+f$, where $f$ is a mixed homogeneous function which is smooth away from the origin and $c$ is a constant. Our result generalizes a corresponding theorem on mixed homogeneous polynomial functions by A. Iosevich and E. Sawyer.16 pagesClassical Analysis and ODEs42B10, 42B25Damped oscillatory integrals and boundedness of maximal operators associated to mixed homogeneous hypersurfacestext