dc.creator | Bernal González, Luis | es |
dc.creator | Bonilla Ramírez, Antonio Lorenzo | es |
dc.date.accessioned | 2019-06-19T07:51:31Z | |
dc.date.available | 2019-06-19T07:51:31Z | |
dc.date.issued | 2006-03-01 | |
dc.identifier.citation | Bernal González, L. y Bonilla Ramírez, A.L. (2006). Universality of holomorphic functions bounded on closed sets. Journal of Mathematical Analysis and Applications, 315 (1), 302-316. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | https://hdl.handle.net/11441/87509 | |
dc.description.abstract | In this note, the existence of translation-universal entire functions which are bounded on certain closed subsets is characterized in terms of topological and geometrical properties of such subsets. Corresponding results are also stated in the space of holomorphic functions on the unit disk and in the space of
harmonic functions on the plane. Moreover, it is shown the existence of entire functions which are bounded on many rays and, simultaneously, are universal with respect to a prescribed infinite-order differential operator. | es |
dc.description.sponsorship | Plan Andaluz de Investigación (Junta de Andalucía) | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior (DGES). España | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología (MCYT). España | es |
dc.description.sponsorship | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 315 (1), 302-316. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Universal function | es |
dc.subject | Arakelian set | es |
dc.subject | Bounded holomorphic function | es |
dc.subject | Inscribed radius | es |
dc.subject | Infinite-order differential operator | es |
dc.title | Universality of holomorphic functions bounded on closed sets | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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 | BFM2003-03893-C02-01 | es |
dc.relation.projectID | BFM 2002-02098 | es |
dc.relation.publisherversion | https://reader.elsevier.com/reader/sd/pii/S0022247X05005433?token=D6F81B4380EA0E1F240F2085D35872A0E71464A56F161423F85E5E583F2F878B13BB188E7DCDABD3E797F79A7B64BE53 | es |
dc.identifier.doi | 10.1016/j.jmaa.2005.06.010 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 20 p. | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 315 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 302 | es |
dc.publication.endPage | 316 | es |