Approximation and entropy numbers of composition operators

We give a survey on approximation numbers of composition operators on the Hardy space, on thedisk and on the polydisk, and add corresponding new results on their entropy numbers, revealing how theyare different.

Detalhes bibliográficos
Autores: Li, Daniel, Queffélec, Hervé, Rodríguez Piazza, Luis
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/144371
Acesso em linha:https://hdl.handle.net/11441/144371
https://doi.org/10.1515/conop-2020-0106
Access Level:acceso abierto
Palavra-chave:approximation numbers
composition operator
entropy numbers
polydisk
pluricapacity
Descrição
Resumo:We give a survey on approximation numbers of composition operators on the Hardy space, on thedisk and on the polydisk, and add corresponding new results on their entropy numbers, revealing how theyare different.