2022-06-222022-06-222021Campo Acosta, R.d., Fernández Carrión, A., Mayoral Masa, F. y Naranjo Naranjo, F.J. (2021). Orlicz spaces associated to a quasi‑Banach function space: applications to vector measures and interpolation. Collectanea Mathematica, 72 (3), 481-499.0010-0757https://hdl.handle.net/11441/134579The 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 construction to the spaces L1w(m), L1(m) and L1(∥m∥) of integrable functions (in the weak, strong and Choquet sense, respectively) in order to obtain the known Orlicz spaces LΦw(m) and LΦ(m) and the new ones LΦ(∥m∥). Therefore, we are providing a framework where dealing with different kind of Orlicz spaces in a unified way. Some applications to complex interpolation are also given.application/pdf19engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Orlicz spacesQuasi-Banach function spacesVector measuresComplex interpolationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s13348-020-00295-1