Disjointly strictly singular and L-weakly compact inclusions between variable Lebesgue spaces
Disjointly strictly singular inclusions between variable Lebesgue spaces Lp(·)(μ) on finite measure are characterized. Suitable criteria in terms of the (bounded or unbounded) exponents are given. It is proved the equivalence of L-weak compactness (also called almost compactness) and disjoint strict...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/120289 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/120289 |
| Access Level: | acceso abierto |
| Palabra clave: | Variable Lebesgue spaces Disjoint strict singularity Weak compactness Inclusion operators Análisis funcional y teoría de operadores 1202.03 Álgebra y Espacios de Banach |
| Sumario: | Disjointly strictly singular inclusions between variable Lebesgue spaces Lp(·)(μ) on finite measure are characterized. Suitable criteria in terms of the (bounded or unbounded) exponents are given. It is proved the equivalence of L-weak compactness (also called almost compactness) and disjoint strict singularity for variable Lebesgue space inclusions. For infinite measure any inclusion Lp(·)(μ) → Lq(·)(μ) is not disjointly strictly singular. No restrictions on the exponent are imposed. |
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