Duality for logarithmic interpolation spaces when 0 < q < 1 and applications
| dc.contributor.author | Cobos Díaz, Fernando | |
| dc.contributor.author | Fernández Besoy, Blanca | |
| dc.date.accessioned | 2023-06-17T12:28:22Z | |
| dc.date.available | 2023-06-17T12:28:22Z | |
| dc.date.issued | 2018-06-01 | |
| dc.description.abstract | We work with spaces (A0;A1)θ;q;A which are logarithmic perturbations of the real interpolation spaces. We determine the dual of (A0;A1)θ;q;A when0 < q < 1. As we show, if θ = 0 or 1 then the dual space depends on the relationship between q and A. Furthermore we apply the abstract results to compute the dual space of Besov spaces of logarithmic smoothness and the dual space of spaces of compact operators in a Hilbert space which are closeto the Macaev ideals. | en |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Economía, Comercio y Empresa (España) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/48260 | |
| dc.identifier.doi | 10.1016/j.jmaa.2018.05.082 | |
| dc.identifier.issn | 1432-0940 | |
| dc.identifier.officialurl | https//doi.org/10.1016/j.jmaa.2018.05.082 | |
| dc.identifier.relatedurl | https://www.sciencedirect.com/science/article/pii/S0022247X1830489X | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/12191 | |
| dc.issue.number | 1 | |
| dc.journal.title | Journal of Mathematical Analysis and Applications | |
| dc.language.iso | eng | |
| dc.page.final | 399 | |
| dc.page.initial | 373 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | MTM2017-84058-P | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.538.5 | |
| dc.subject.cdu | 517.518.8 | |
| dc.subject.keyword | Teoría de la aproximación | |
| dc.subject.keyword | Approximation spaces | |
| dc.subject.keyword | Besov spaces Compact embeddings | |
| dc.subject.keyword | Entropy numbers | |
| dc.subject.keyword | Approximation numbers | |
| dc.subject.ucm | Matemáticas (Matemáticas) | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 12 Matemáticas | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Duality for logarithmic interpolation spaces when 0 < q < 1 and applications | en |
| dc.type | journal article | |
| dc.volume.number | 466 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | ad35279f-f928-4b72-a5bd-e422662ac4c1 | |
| relation.isAuthorOfPublication | 089b5391-8b00-49f9-9325-7607c9ad4064 | |
| relation.isAuthorOfPublication.latestForDiscovery | 089b5391-8b00-49f9-9325-7607c9ad4064 |
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