2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226216We prove bounds for multilinear operators on $\R^d$ given by multipliers which are singular along a $k$ dimensional subspace. The new case of interest is when the rank $k/d$ is not an integer. Connections with the concept of {\em true complexity} from Additive Combinatorics are also investigated.28 pages, 0 figuresClassical Analysis and ODEsCombinatorics42B20Multilinear singular operators with fractional ranktext