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: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2021 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/8166 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/8166 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 517.98 Variable exponent Lebesgue spaces Weak compactness Equi-integrability Weak Banach-Saks property Análisis funcional y teoría de operadores |
| Resumo: | 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. |
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