Structure and operators on variable Lebesgue spaces
In this PhD thesis memoir we study the structure of variable exponent Lebesgue spaces (or Nakanospaces) Lp(·)(Ω) and some properties of the operators between them, in particular inclusion operators. We work in both finite measure and σ-finite measure spacesΩ. This includes also the study of Nakanose...
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| Tipo de recurso: | tesis doctoral |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/102448 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/102448 |
| Access Level: | acceso abierto |
| Palabra clave: | 51(043.2) Matemáticas Mathematics Matemáticas (Matemáticas) 12 Matemáticas |
| Sumario: | In this PhD thesis memoir we study the structure of variable exponent Lebesgue spaces (or Nakanospaces) Lp(·)(Ω) and some properties of the operators between them, in particular inclusion operators. We work in both finite measure and σ-finite measure spacesΩ. This includes also the study of Nakanosequence spaces ℓpn. We also analize compact inclusions between H¨older spaces of variableorder Cϕ(·)... |
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