dc.creator | Contreras Márquez, Manuel Domingo | es |
dc.creator | Gómez Cabello, Carlos | es |
dc.creator | Rodríguez Piazza, Luis | es |
dc.date.accessioned | 2023-08-30T09:19:52Z | |
dc.date.available | 2023-08-30T09:19:52Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Contreras Márquez, M.D., Gómez Cabello, C. y Rodríguez Piazza, L. (2023). Semigroups of composition operators on Hardy spaces of Dirichlet series. Journal of Functional Analysis, 285 (9), 110089. https://doi.org/10.1016/j.jfa.2023.110089. | |
dc.identifier.issn | 0022-1236 | es |
dc.identifier.uri | https://hdl.handle.net/11441/148558 | |
dc.description | This is an open access article under the CC
BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). | es |
dc.description.abstract | We consider continuous semigroups of analytic functions {Φt}t≥0 in the so-called Gordon-Hedenmalm class G, that is, the family of analytic functions Φ:C+→C+ giving rise to bounded composition operators in the Hardy space of Dirichlet series H2. We show that there is a one-to-one correspondence between continuous semigroups {Φt}t≥0 in the class G and strongly continuous semigroups of composition operators {Tt}t≥0, where Tt(f)=f∘Φt, f∈H2. We extend these results for the range p∈[1,∞). For the case p=∞, we prove that there is no non-trivial strongly continuous semigroup of composition operators in H∞. We characterize the infinitesimal generators of continuous semigroups in the class G as those Dirichlet series sending C+ into its closure. Some dynamical properties of the semigroups are obtained from a description of the Koenigs map of the semigroup. | es |
dc.format | application/pdf | es |
dc.format.extent | 36 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Functional Analysis, 285 (9), 110089. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Semigroups of composition operators | es |
dc.subject | Hardy spaces of Dirichlet series | es |
dc.title | Semigroups of composition operators on Hardy spaces of Dirichlet series | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | PGC2018-094215-13-100 | es |
dc.relation.projectID | FQM133 | es |
dc.relation.projectID | FQM104 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S002212362300246X | es |
dc.identifier.doi | 10.1016/j.jfa.2023.110089 | es |
dc.contributor.group | Universidad de Sevilla. FQM133: Grupo de Investigación en Análisis Funcional | es |
dc.journaltitle | Journal of Functional Analysis | es |
dc.publication.volumen | 285 | es |
dc.publication.issue | 9 | es |
dc.publication.initialPage | 110089 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.contributor.funder | Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.contributor.funder | Junta de Andalucía | es |