Artículo
Equivalent quasi-norms on generalized Orlicz spaces
Autor/es | Fernández Carrión, Antonio
Sánchez Cuadrado, José Manuel Sánchez Pérez, Enrique Alfonso |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Fecha de publicación | 2023 |
Fecha de depósito | 2024-04-05 |
Publicado en |
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Resumen | In this paper we show that the equivalence among the classical quasi-norms of the generalized Orlicz spaces XΦ — the Orlicz quasi-norm, the Luxemburg quasi-norm and the Amemiya quasi-norm — holds under some mild conditions ... In this paper we show that the equivalence among the classical quasi-norms of the generalized Orlicz spaces XΦ — the Orlicz quasi-norm, the Luxemburg quasi-norm and the Amemiya quasi-norm — holds under some mild conditions on the underlying quasi-Banach function space X — mainly the weak Fatou property — improving previous results of [R. DEL CAMPO, A. FERNANDEZ ´ , F. MAYORAL, F. NARANJO AND E. A. SANCHEZ ´ -PEREZ ´ , When and where the Orlicz and Luxemburg (quasi-) norms are equivalent?, J. Math. Anal. Appl. 249, 1 (2020)] for which some lattice convexity requirements for the quasi-Banach function space X were needed. |
Agencias financiadoras | Junta de Andalucía |
Identificador del proyecto | FQM-133
PID2020-112759GB-I00 MCIN/AEI/10.13039/501100011033 |
Cita | Fernández Carrión, A., Sánchez Cuadrado, J.M. y Sánchez Pérez, E.A. (2023). Equivalent quasi-norms on generalized Orlicz spaces. Mathematical Inequalities & Applications, 26 (2), 401-413. https://doi.org/10.7153/mia-2023-26-26. |
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