dc.contributor.author | Bonet, José | |
dc.contributor.author | Vukotic Jovsic, Dragan | |
dc.contributor.other | UAM. Departamento de Matemáticas | es_ES |
dc.date.accessioned | 2019-03-11T10:55:48Z | |
dc.date.available | 2019-03-11T10:55:48Z | |
dc.date.issued | 2017-05-27 | |
dc.identifier.citation | Results in Mathematics 72,1-2 (2017): 263-249 | en_US |
dc.identifier.issn | 1422-6383 (Print) | en_US |
dc.identifier.issn | 1420-9012 (Online) | en_US |
dc.identifier.uri | http://hdl.handle.net/10486/686864 | |
dc.description | This is a post-peer-review, pre-copyedit version of an article published in Results in Mathematics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00025-017-0696-2 | en_US |
dc.description.abstract | Given a non-negative weight v, not necessarily bounded or strictly positive, defined on a domain G in the complex plane, we consider the weighted space Hv∞(G) of all holomorphic functions on G such that the product v|f| is bounded in G and study the question of when such a space is complete under the canonical sup-seminorm. We obtain both some necessary and some sufficient conditions in terms of the weight v, exhibit several relevant examples, and characterize completeness in the case of spaces with radial weights on balanced domains | en_US |
dc.description.sponsorship | The first author was partially supported by MTM2013-43540-P and MTM-2016-76647-P by MINECO/FEDER-EU and GVA Prometeo II/2013/013.
The second author was partially supported by the MINECO/FEDER-EU grant MTM2015-65792-P. Both authors were partially supported by Thematic Research Network MTM2015-69323-REDT, MINECO, Spain | en_US |
dc.format.extent | 21 pag. | |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Birkhauser Verlag AG | en_US |
dc.relation.ispartof | Results in Mathematics | en_US |
dc.rights | © 2017, Springer International Publishing | es_ES |
dc.subject.other | Weighted Banach spaces | en_US |
dc.subject.other | Holomorphic functions | en_US |
dc.title | A note on completeness of weighted normed spaces of analytic functions | en_US |
dc.type | article | en |
dc.subject.eciencia | Matemáticas | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s00025-017-0696-2 | es_ES |
dc.identifier.doi | 10.1007/s00025-017-0696-2 | |
dc.identifier.publicationfirstpage | 263 | es_ES |
dc.identifier.publicationissue | 1-2 | es_ES |
dc.identifier.publicationlastpage | 249 | es_ES |
dc.identifier.publicationvolume | 72 | es_ES |
dc.relation.projectID | Gobierno de España. MTM2013-43540-P | es_ES |
dc.relation.projectID | Gobierno de España. MTM2016-76647-P | es_ES |
dc.relation.projectID | Gobierno de España. MTM2015-65792-P | es_ES |
dc.relation.projectID | Gobierno de España. MTM2015-69323-REDT | es_ES |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.rights.accessRights | openAccess | en |
dc.facultadUAM | Facultad de Ciencias | |