Maximal cluster sets along arbitrary curves

The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except for zero maximal cluster set along any curve tending to the boundary with nontotal oscillation value set is shown.

Detalhes bibliográficos
Autores: Bernal González, Luis, Calderón Moreno, María del Carmen, Prado Bassas, José Antonio
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2004
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/45720
Acesso em linha:http://hdl.handle.net/11441/45720
https://doi.org/10.1016/j.jat.2004.06.003
Access Level:acceso abierto
Palavra-chave:Cluster set
Curve tending to the boundary
Jordan domain
Dense linear manifold
Descrição
Resumo:The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except for zero maximal cluster set along any curve tending to the boundary with nontotal oscillation value set is shown.