Weak compactness in variable exponent spaces
This paper shows necessary and sufficient conditions on subsets of variable exponent spaces Lp(·)(Ω) in order to be weakly compact. Useful criteria are given extending Andô results for Orlicz spaces. As application, we prove that all separable variable exponent spaces are weakly Banach-Saks. Also, L...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/8166 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/8166 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.98 Variable exponent Lebesgue spaces Weak compactness Equi-integrability Weak Banach-Saks property Análisis funcional y teoría de operadores |
| Sumario: | This paper shows necessary and sufficient conditions on subsets of variable exponent spaces Lp(·)(Ω) in order to be weakly compact. Useful criteria are given extending Andô results for Orlicz spaces. As application, we prove that all separable variable exponent spaces are weakly Banach-Saks. Also, L-weakly compact and weakly compact inclusions between variable exponent spaces are studied. |
|---|