Weighted Hardy inequalities, real interpolation methods and vector measures

We analyze the relationship of the Ariño–Muckenhoupt weights with the K - spaces obtained when the real interpolation method defined by a parameter function is applied to the pairs (L 1 , L∞) and (L 1,∞, L∞) of function spaces associated to the semivariation of a vector measure.

Detalhes bibliográficos
Autores: Campo Acosta, Ricardo del, Fernández Carrión, Antonio, Manzano, Antonio, Mayoral Masa, Fernando, Naranjo Naranjo, Francisco José
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2014
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/135891
Acesso em linha:https://hdl.handle.net/11441/135891
https://doi.org/10.1007/s13398-014-0185-3
Access Level:acceso abierto
Palavra-chave:Weighted Hardy inequality
Real interpolation
Vector measures
Semivariation
Lorentz space
Descrição
Resumo:We analyze the relationship of the Ariño–Muckenhoupt weights with the K - spaces obtained when the real interpolation method defined by a parameter function is applied to the pairs (L 1 , L∞) and (L 1,∞, L∞) of function spaces associated to the semivariation of a vector measure.

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