2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126810We construct new families of conformally invariant differential operators acting on densities. We introduce a simple, direct approach which shows that all such operators arise via this construction when the degree is bounded by the dimension. The method relies on a study of well-known transformation laws and on Weyl's theory regarding identities holding ``formally'' vs. ``by substitution''. We also illustrate how this new method can strengthen existing results in the parabolic invariant theory for conformal geometries.50 pages, revised versionDifferential Geometry53A30; 53A55text