dc.creator | Aguilar-Hernández, Tanausú | es |
dc.creator | Contreras Márquez, Manuel Domingo | es |
dc.creator | Rodríguez Piazza, Luis | es |
dc.date.accessioned | 2022-01-10T17:43:57Z | |
dc.date.available | 2022-01-10T17:43:57Z | |
dc.date.issued | 2022 | |
dc.identifier.citation | Aguilar-Hernández, T., Contreras Márquez, M.D. y Rodríguez Piazza, L. (2022). Average radial integrability spaces of analytic functions. Journal of Functional Analysis, 282 (1), Article number 109262. | |
dc.identifier.issn | 0022-1236 | es |
dc.identifier.uri | https://hdl.handle.net/11441/128720 | |
dc.description | Article number 109262 | es |
dc.description.abstract | In this paper we introduce the family of spaces RM(p, q),
1 ≤ p, q ≤ +∞. They are spaces of holomorphic functions
in the unit disc with average radial integrability. This
family contains the classical Hardy spaces (when p = ∞)
and Bergman spaces (when p = q). We characterize the
inclusion between RM(p1, q1) and RM(p2, q2) depending on
the parameters. For 1 < p, q < ∞, our main result provides a
characterization of the dual spaces of RM(p, q) by means
of the boundedness of the Bergman projection. We show
that RM(p, q) is separable if and only if q < +∞. In fact,
we provide a method to build isomorphic copies of ∞ in
RM(p, ∞). | es |
dc.description.sponsorship | Feder (UE) PGC2018-094215-B-100 | es |
dc.description.sponsorship | Junta de Andalucía(España) FQM-104 | es |
dc.description.sponsorship | Junta de Andalucía(España) FQM133 | es |
dc.format | application/pdf | es |
dc.format.extent | 34 p. | es |
dc.language.iso | eng | es |
dc.publisher | Academic Press Inc. | es |
dc.relation.ispartof | Journal of Functional Analysis, 282 (1), Article number 109262. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Mixed norm spaces | es |
dc.subject | Radial integrability | es |
dc.subject | Bergman projection | es |
dc.title | Average radial integrability spaces of analytic functions | 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-B-100 | es |
dc.relation.projectID | FQM133 | es |
dc.relation.projectID | FQM133 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S002212362100344X | es |
dc.identifier.doi | 10.1016/j.jfa.2021.109262 | es |
dc.journaltitle | Journal of Functional Analysis | es |
dc.publication.volumen | 282 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | Article number 109262 | es |