| dc.creator | Albiac Alesanco, Fernando José | es_ES |
| dc.creator | Ansorena, José L. | es_ES |
| dc.creator | Ciaurri, Óscar | es_ES |
| dc.creator | Varona, Juan L. | es_ES |
| dc.date.accessioned | 2019-12-20T09:14:06Z | |
| dc.date.available | 2019-12-20T09:14:06Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 0213-2230 | |
| dc.identifier.uri | https://hdl.handle.net/2454/35946 | |
| dc.description.abstract | We show that the decreasing rearrangement of the Fourier series with respect to the Jacobi polynomials for functions in L-p does not converge unless p = 2. As a by-product of our work on quasi-greedy bases in L-p(µ), we show that no normalized unconditional basis in L-p, p not equal 2, can be semi-normalized in L-q for q not equal p, thus extending a classical theorem of Kadets and Pelczynski from 1968. | en |
| dc.description.sponsorship | The first two authors were partially supported by the Spanish Research Grant Analisis Vectorial, Multilineal y Aplicaciones, reference number MTM2014-53009-P, and the last two authors were partially supported by the Spanish Research Grant Ortogonalidad, Teoria de la Aproximacion y Aplicaciones en Fisica Matematica, reference number MTM2015-65888-C4-4-P. The first-named author also acknowledges the support of Spanish Research Grant Operators, lattices, and structure of Banach spaces, with reference MTM2016-76808-P. | en |
| dc.format.extent | 17 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.language.iso | eng | en |
| dc.publisher | European Mathematical Society | en |
| dc.relation.ispartof | Revista Matemática Iberoamericana, 2019, 35 (2), 561-574 | en |
| dc.rights | © 2019 EMS Publishing House. All rights reserved. | en |
| dc.subject | Thresholding greedy algorithm | en |
| dc.subject | Unconditional basis | en |
| dc.subject | Quasi-greedy basis | en |
| dc.subject | L-p-spaces | en |
| dc.subject | Jacobi polynomials | en |
| dc.title | Unconditional and quasi-greedy bases in L-p with applications to Jacobi polynomials Fourier series | en |
| dc.type | info:eu-repo/semantics/article | en |
| dc.type | Artículo / Artikulua | es |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
| dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
| dc.identifier.doi | 10.4171/RMI/1062 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-53009-P/ES/ | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2015-65888-C4-4-P/ES/ | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/MTM2016-76808-P | en |
| dc.relation.publisherversion | https://doi.org/10.4171/RMI/1062 | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
| dc.type.version | Versión aceptada / Onetsi den bertsioa | es |
