2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215537We introduce a scale of weighted Carleson norms, which depend on an integrability parameter p, where p=2 corresponds to the classical Carleson measure condition. Relations between the weighed BMO norm of a vector-valued function f:R->X, and the Carleson norm of the sequence of its wavelet coefficients, are established. These extend the results of Harboure-Salinas-Viviani, also in the scalar-valued case when p is not 2.14 pages, submitted for publicationFunctional Analysis42B35; 42C40; 46E40text