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...

ver descrição completa

Detalhes bibliográficos
Autores: Górka, Przemysław, Sanchiz Alonso, Mauro, Ruiz Bermejo, César
Tipo de documento: artigo
Data de publicação:2024
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/132622
Acesso em linha:https://hdl.handle.net/20.500.14352/132622
Access Level:Acesso embargado
Palavra-chave:Metric spaces
Variable exponent Hölder spaces
Compactness
Análisis funcional y teoría de operadores
1202.03 Álgebra y Espacios de Banach
Descrição
Resumo: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.