Compact inclusions between variable Hölder spaces

We give a sufficient condition for the inclusion between two variable order Hölder spaces be compact. In some cases, mostly asking log-Hölder continuity in one of the order functions, we find a criterion for the inclusion between variable order Hölder spaces to be compact. We consider two variable o...

Descripción completa

Detalles Bibliográficos
Autores: Górka, Przemysław, Sanchiz Alonso, Mauro, Ruiz Bermejo, César
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:20.500.14352/132622
Acceso en línea:https://hdl.handle.net/20.500.14352/132622
Access Level:acceso embargado
Palabra clave:Metric spaces
Variable exponent Hölder spaces
Compactness
Análisis funcional y teoría de operadores
1202.03 Álgebra y Espacios de Banach
Descripción
Sumario:We give a sufficient condition for the inclusion between two variable order Hölder spaces be compact. In some cases, mostly asking log-Hölder continuity in one of the order functions, we find a criterion for the inclusion between variable order Hölder spaces to be compact. We consider two variable order functions as well as one variable order functions.