2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163203In this note, we present two arguments showing that the classical \textit{linear adjoint cone restriction conjecture} holds for the class of functions supported on the cone and invariant under the spatial rotation in all dimensions. The first is based on a dyadic restriction estimate, while the second follows from a strengthening version of the Hausdorff-Young inequality and the Hölder inequality in the Lorentz spaces.9 pages, no figures. Referee's suggestions and comments incorporated; to appear the Proceedings of the AMSClassical Analysis and ODEsAnalysis of PDEs42B10; 42B25; 35L05text