Optimal non-absolute domains for the Hardy operator minus identity

We characterize the optimal non-absolute domain for the Hardy operator minus the identity, in the Lebesgue space Lᴾ(0, ∞), 1 ≤ p ≤ ∞. We also address a similar question for the dual Hardy operator minus the identity.

Detalhes bibliográficos
Autores: Barza, Sorina, Demissie, Bizuneh Minda, Soria de Diego, Francisco Javier
Formato: artículo
Fecha de publicación:2024
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/105056
Acesso em linha:https://hdl.handle.net/20.500.14352/105056
Access Level:acceso abierto
Palavra-chave:Hardy operator
Optimal domain
Matemáticas (Matemáticas)
12 Matemáticas
Descrição
Resumo:We characterize the optimal non-absolute domain for the Hardy operator minus the identity, in the Lebesgue space Lᴾ(0, ∞), 1 ≤ p ≤ ∞. We also address a similar question for the dual Hardy operator minus the identity.