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Artículo
Orlicz spaces associated to a quasi‑Banach function space: applications to vector measures and interpolation
(Springer, 2021)
The Orlicz spaces XΦ associated to a quasi-Banach function space X are defined by replacing the role of the space L1 by X in the classical construction of Orlicz spaces. Given a vector measure m, we can apply this ...
Artículo
Compactness in quasi-Banach function spaces with applications to L1 of the semivariation of a vector measure
(Springer, 2020)
We characterize the relatively compact subsets of the order continuous part Ea of a quasi Banach function space E showing that the strong connection between compactness, uniform absolute continuity, uniform integrability, ...
Artículo
When and where the Orlicz and Luxemburg (quasi-) norms are equivalent?
(Elsevier, 2020)
We study the equivalence between the Orlicz and Luxemburg (quasi-) norms in the context of the generalized Orlicz spaces associated to an N-function Φ and a (quasi-) Banach function space X over a positive finite measure ...
Artículo
The de la Vallée-Poussin theorem and Orlicz spaces associated to a vector measure
(Elsevier, 2019)
For a vector measure m, with values in a Banach space, we analyze the localization of uniformly integrable subsets of scalar integrable functions with respect to m in a suitable Orlicz space associated to m. As tools we ...