The de la Vallee-Poussin theorem and Orlicz spaces associated to a vector measure

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:470

Article

del Campo, Ricardo¹  Fernandez, Antonio²  Mayoral, Fernando²  Naranjo, Francisco² 

[1] Univ Seville, Dept Matemat Aplicada 1, EUITA, Ctra Utrera Km 1, Seville 41013, Spain

[2] Escuela Tecn Super Ingn, Dept Matemat Aplicada 2, Camino Descubrimientos S-N, Seville 41092, Spain

关键词: Orlicz spaces;    Vector measure;    Uniform integrability;    Compactness;   

DOI  :  10.1016/j.jmaa.2018.10.001

来源: Elsevier

【 摘 要 】

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 consider the properties of Orlicz spaces associated to intermediate functions of a given pair of Young functions. These properties allow us to obtain compactness properties of the inclusion operators. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free