Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces

Working in the setting of quasi-Banach couples, we establish a formula for the measure of non-compactness of bilinear operators interpolated by the general real method. The result applies to the real method and to the real method with a function parameter.

Detalhes bibliográficos
Autores: Fernández Besoy, Blanca, Cobos Díaz, Fernando
Tipo de documento: artigo
Data de publicação:2019
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:espanhol
OAI Identifier:oai:docta.ucm.es:20.500.14352/13173
Acesso em linha:https://hdl.handle.net/20.500.14352/13173
Access Level:Acceso aberto
Palavra-chave:517.98
Análisis funcional
Espacios de Banach
Real interpolation
Measure of non-compactness
Compact
Interpolation with a function parameter
Bilinear operators
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
1202 Análisis y Análisis Funcional
Descrição
Resumo:Working in the setting of quasi-Banach couples, we establish a formula for the measure of non-compactness of bilinear operators interpolated by the general real method. The result applies to the real method and to the real method with a function parameter.