2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149474We prove decoupling inequalities for random polynomials in independent random variables with coefficients in vector space. We use various means of comparison, including rearrangement invariant norms (e.g., Orlicz and Lorentz norms), tail distributions, tightness, hypercontractivity, etc.ProbabilityFunctional AnalysisStatistics TheoryPrimary: 60B11, 46M05; Secondary: 60H07, 46E30, 60E15, 62H05, 62G30text