2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73755We study the operator space UMD property, introduced by Pisier in the context of noncommutative vector-valued Lp-spaces. It is unknown whether the property is independent of p in this setting. We prove that for 1<p,q<\infty, the Schatten q-classes Sq are OUMDp. The proof relies on properties of the Haagerup tensor product and complex interpolation. Using ultraproduct techniques, we extend this result to a large class of noncommutative Lq-spaces. Namely, we show that if M is a QWEP von Neumann algebra (i.e., a quotient of a C^*-algebra with Lance's weak expectation property) equipped with a normal, faithful tracial state τ, then Lq(M,τ) is OUMDp for 1<p,q<\infty.30 pagesOperator AlgebrasFunctional AnalysisProbability46L52, 47L25 (Primary) 60G46 (Secondary)text