Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator
For the Dunkl operator Λα (α > −1/2) on the space of entire functions on the complex space C, the critical rate of growth for the integral means Mp(f, r) of their hypercyclic functions f is obtained. The rate of growth of the corresponding frequently hypercyclic functions is also analyzed.
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/43875 |
| Acesso em linha: | http://hdl.handle.net/11441/43875 https://doi.org/10.1007/s00009-016-0690-z |
| Access Level: | acceso abierto |
| Palavra-chave: | Frequently hypercyclic operator Frequently hypercyclic vector Frequent hypercyclicity criterion Rate of growth Entire function Dunkl operator |
| Resumo: | For the Dunkl operator Λα (α > −1/2) on the space of entire functions on the complex space C, the critical rate of growth for the integral means Mp(f, r) of their hypercyclic functions f is obtained. The rate of growth of the corresponding frequently hypercyclic functions is also analyzed. |
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