Dependence on Parameters in Interpolation Methods Associated to Polygons
| dc.contributor.author | Cobos Díaz, Fernando | |
| dc.contributor.author | Fernández-Martínez, Pedro | |
| dc.date.accessioned | 2023-06-20T16:52:54Z | |
| dc.date.available | 2023-06-20T16:52:54Z | |
| dc.date.issued | 1995 | |
| dc.description.abstract | A theorem due to S. Janson, P. Nilsson, J. Peetre and M. Zafran [Proc. Lond. Math. Soc., III. Ser. 48, 283-299 (1984; Zbl 0532.46046)] states that for a Banach couple A such that _(A) is not closed in _(A) the real interpolation spaces A_,q and A_,p coincide if and only if _ = _ and p = q. Here the analogous problem for N-tuples of Banach spaces is investigated. It is assumed that the N-tuple A satisfies a certain condition "(A) which ensures that the J- and the K-methods with respect to a polygon _ coincide. Also, it is assumed that _(A) is not closed in _(A). The authors prove the following results: (1) If P,Q 2 int _ and AP,p = AQ,q, then p = q. (2) If P, Q,R 2 int _ and AP,q = AQ,q = AR,q, then P, Q and R are affinely dependent. | en |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15476 | |
| dc.identifier.issn | 0041-7084 | |
| dc.identifier.relatedurl | http://umi.dm.unibo.it/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57315 | |
| dc.issue.number | 2 | |
| dc.journal.title | Bollettino della Unione Matematica Italiana | |
| dc.page.final | 357 | |
| dc.page.initial | 339 | |
| dc.publisher | Unione matematica italiana | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 519.6 | |
| dc.subject.keyword | Real interpolation method defined by a polygon | |
| dc.subject.keyword | Real interpolation spaces | |
| dc.subject.ucm | Análisis numérico | |
| dc.subject.unesco | 1206 Análisis Numérico | |
| dc.title | Dependence on Parameters in Interpolation Methods Associated to Polygons | en |
| dc.type | journal article | |
| dc.volume.number | 9B | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | ad35279f-f928-4b72-a5bd-e422662ac4c1 | |
| relation.isAuthorOfPublication.latestForDiscovery | ad35279f-f928-4b72-a5bd-e422662ac4c1 |