Article
The de la Vallée-Poussin theorem and Orlicz spaces associated to a vector measure
Author/s | Campo Acosta, Ricardo del
Fernández Carrión, Antonio Mayoral Masa, Fernando Naranjo Naranjo, Francisco José |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Publication Date | 2019 |
Deposit Date | 2022-07-27 |
Published in |
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Abstract | 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 ... 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. |
Funding agencies | Junta de Andalucía |
Project ID. | FQM-133 |
Citation | Campo Acosta, R.d., Fernández Carrión, A., Mayoral Masa, F. y Naranjo Naranjo, F.J. (2019). The de la Vallée-Poussin theorem and Orlicz spaces associated to a vector measure. Journal of Mathematical Analysis and Applications, 470 (1), 279-291. |
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