Article
Orlicz spaces associated to a quasi‑Banach function space: applications to vector measures and interpolation
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 | 2021 |
Deposit Date | 2022-06-22 |
Published in |
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Abstract | 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 ... 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. |
Funding agencies | Junta de Andalucía |
Project ID. | FQM-133
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Citation | Campo 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. |
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