Complex interpolation of Orlicz spaces with respect to a vector measure

We apply the Calderon interpolation methods to Orlicz and weakly Orlicz function spaces with respect to a Banach-space-valued measure defined on a σ-algebra. The results we obtain generalize those in the case of Banach lattices of p-integrable and weakly p-integrable functions with respect to such a...

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Detalhes bibliográficos
Autores: Campo Acosta, Ricardo del, Fernández Carrión, Antonio, Manzano, A., Mayoral Masa, Fernando, Naranjo Naranjo, Francisco José
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2014
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/163293
Acesso em linha:https://hdl.handle.net/11441/163293
https://doi.org/10.1002/mana.201200289
Access Level:Acceso aberto
Palavra-chave:Complex interpolation
Orlicz spaces
Vector measure
Descrição
Resumo:We apply the Calderon interpolation methods to Orlicz and weakly Orlicz function spaces with respect to a Banach-space-valued measure defined on a σ-algebra. The results we obtain generalize those in the case of Banach lattices of p-integrable and weakly p-integrable functions with respect to such a vector measure.