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Orlicz spaces associated to a quasi-Banach function space: applications to vector measures and interpolation

  • del Campo, Ricardo [1] Árbol académico ; Fernández, Antonio [1] Árbol académico ; Mayoral, Fernando [1] ; Naranjo, Francisco [1] Árbol académico
    1. [1] Universidad de Sevilla

      Universidad de Sevilla

      Sevilla, España

  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 72, Fasc. 3, 2021, págs. 481-499
  • Idioma: inglés
  • DOI: 10.1007/s13348-020-00295-1
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • 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 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.


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