Logarithmic interpolation methods and measure of non-compactness

We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with θ = 0, 1 between quasi-Banach spaces. Applications are given to operators between Lorentz-Zygmund spaces.

Detalles Bibliográficos
Autores: Cobos Díaz, Fernando, Fernández Besoy, Blanca
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/13528
Acceso en línea:https://hdl.handle.net/20.500.14352/13528
Access Level:acceso abierto
Palabra clave:515.175.2
517.982.22
Logarithmic interpolation methods
Measure of non-compactness
Compact operators
Lorentz-Zygmund spaces
Espacios de Banach
Matemáticas (Matemáticas)
Análisis funcional y teoría de operadores
12 Matemáticas
Descripción
Sumario:We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with θ = 0, 1 between quasi-Banach spaces. Applications are given to operators between Lorentz-Zygmund spaces.