dc.creator | Bernal González, Luis | es |
dc.date.accessioned | 2019-06-19T07:27:57Z | |
dc.date.available | 2019-06-19T07:27:57Z | |
dc.date.issued | 1999-02-15 | |
dc.identifier.citation | Bernal González, L. (1999). Holomorphic functions having large images under the action of differential operators. Journal of Mathematical Analysis and Applications, 230 (2), 390-399. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | https://hdl.handle.net/11441/87506 | |
dc.description.abstract | We prove in this note that, given a simply connected domain G in the complex plane and a sequence of infinite order linear differential operators generated by entire functions of subexponential type satisfying suitable conditions, then there are holomorphic functions f on G such that the image of any open subset under the action of those operators on f is arbitrarily large. This generalizes an earlier result about images of derivatives. A known statement about close
orbits is also strengthened. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior (DGES). 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, 230 (2), 390-399. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Entire function of subexponential type | es |
dc.subject | Infinite order differential operator | es |
dc.subject | Residual set | es |
dc.subject | Holomorphic function | es |
dc.subject | Relatively compact sequence | es |
dc.subject | Linear metric space | es |
dc.subject | Large images | es |
dc.title | Holomorphic functions having large images under the action of differential operators | 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 | PB96-1348 | es |
dc.relation.publisherversion | https://reader.elsevier.com/reader/sd/pii/S0022247X98962011?token=9FB705ACDA3997BC2D6BDED483A41D7A34444BF830DDA7F06F9A18008B93E71EEEE3E2FEF16D304FFE3EE5EEB71A3DA4 | es |
dc.identifier.doi | 10.1006/jmaa.1998.6201 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 17 p. | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 230 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 390 | es |
dc.publication.endPage | 399 | es |