Rearrangement-invariant hulls of weighted Lebesgue spaces

We characterize the rearrangement-invariant hull, with respect to a given measure µ, of weighted Lebesgue spaces. The solution leads us to first consider when this space is contained in the sum of (L¹ + L∞)(R, µ) and the finalcondition is given in terms of embeddings for weighted Lorentz spaces

Detalles Bibliográficos
Autores: Křepela, Martin, Mihula, Zdeněk, Soria de Diego, Francisco Javier
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/105184
Acceso en línea:https://hdl.handle.net/20.500.14352/105184
Access Level:acceso abierto
Palabra clave:Weighted inequalities
Rearrangement-invariant hull
Lorentz spaces
Matemáticas (Matemáticas)
12 Matemáticas
Descripción
Sumario:We characterize the rearrangement-invariant hull, with respect to a given measure µ, of weighted Lebesgue spaces. The solution leads us to first consider when this space is contained in the sum of (L¹ + L∞)(R, µ) and the finalcondition is given in terms of embeddings for weighted Lorentz spaces