A new approach towards estimating the n-dimensional Bohr radius

A new estimate for the Bohr radius of the family of holomorphic functions in the n-dimensional polydisk is provided. This estimate, obtained via a new approach, is sharper than those that are known up to date.

Detalhes bibliográficos
Autores: Bernal González, Luis, Cabana, Hernán J., García, Domingo, Maestre, Manuel, Muñoz Fernández, Gustavo A., Seoane Sepúlveda, Juan B.
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2021
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:dnet:idus________::05bb453d35b121389f5636e26f735647
Acesso em linha:https://hdl.handle.net/11441/184863
https://doi.org/10.1007/s13398-020-00986-1
Access Level:acceso abierto
Palavra-chave:Bohr radius
n-dimensional polydisk
Homogeneous polynomials
Descrição
Resumo:A new estimate for the Bohr radius of the family of holomorphic functions in the n-dimensional polydisk is provided. This estimate, obtained via a new approach, is sharper than those that are known up to date.