Order of growth of distributional irregular entire functions for the differentiation operator

Autor:	Bernal González, Luis, Bonilla Ramírez, Antonio Lorenzo
Přispěvatelé:	Universidad de Sevilla. Departamento de Análisis Matemático, Universidad de Sevilla. FQM127: Análisis Funcional no Lineal
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	Irregular vector Distributionally irregular vector Hypercyclic operator Entire function Differentiation operator Frequently hypercyclic operator Rate of growth
Zdroj:	idUS. Depósito de Investigación de la Universidad de Sevilla instname
Popis:	We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. More specifically, given p ∈ [1,∞] and b ∈ (0, a), where a = 1 / 2 max{2, p}, we prove that there exists a distributionally irregular entire function f for the operator D such that its p-integral mean function Mp(f, r) grows not more rapidly than e r r−b. This completes related known results about the possible rates of growth of such means for D-hypercyclic entire functions. It is also obtained the existence of dense linear submanifolds of H(C) all whose nonzero vectors are D-distributionally irregular and present the same kind of growth. Plan Andaluz de Investigación (Junta de Andalucía) Ministerio de Economía y Competitividad Fondo Europeo de Desarrollo Regional
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::87a36ab4194ca0bf2c3c9ae0eda0118a https://idus.us.es/xmlui/handle/11441/48455 Zobrazit plný text záznamu