dc.creator | Bernal González, Luis | es |
dc.creator | Calderón Moreno, María del Carmen | es |
dc.creator | Luh, Wolfgang | es |
dc.date.accessioned | 2019-06-19T08:07:56Z | |
dc.date.available | 2019-06-19T08:07:56Z | |
dc.date.issued | 2010-03-01 | |
dc.identifier.citation | Bernal González, L., Calderón Moreno, M.d.C. y Luh, W. (2010). Dense-lineability of sets of Birkhoff-universal functions with rapid decay. Journal of Mathematical Analysis and Applications, 363 (1), 327-335. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | https://hdl.handle.net/11441/87511 | |
dc.description.abstract | Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed radius, and ψ be an increasing positive function on the positive real numbers. We prove the existence of a dense linear manifold M of entire functions all of whose nonzero members are Birkhoff-universal, such that each function in M has overall growth faster than ψ and, in addition, exp(|z|α)f(z) → 0
(z → ∞, z ∈ A) for all α < 1/2 and f ∈ M. With slightly more restrictive conditions on A, we get that the last property also holds for the action T f of certain holomorphic operators T. Our results unify, extend and complete recent work by several authors. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia (MEC). España | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 363 (1), 327-335. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Birkhoff-universal function | es |
dc.subject | Dense lineability | es |
dc.subject | Arakelian set | es |
dc.subject | Infinite order differential operator | es |
dc.subject | Growth of entire functions | es |
dc.title | Dense-lineability of sets of Birkhoff-universal functions with rapid decay | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | MTM2006-13997-C02-01 | es |
dc.relation.projectID | MTM2006-26627-E | es |
dc.relation.publisherversion | https://reader.elsevier.com/reader/sd/pii/S0022247X09006921?token=F06CBABEA29041F303D8C566E85BD689976E8DD996934ECA5619EB9453EDCEFAD67467141FD80BE03419D304DC8C547A | es |
dc.identifier.doi | 10.1016/j.jmaa.2009.08.049 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 19 p. | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 363 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 327 | es |
dc.publication.endPage | 335 | es |