On Besov spaces of logarithmic smoothness and Lipschitz spaces
| dc.contributor.author | Cobos Díaz, Fernando | |
| dc.contributor.author | Domínguez Bonilla, Óscar | |
| dc.date.accessioned | 2023-06-18T05:40:34Z | |
| dc.date.available | 2023-06-18T05:40:34Z | |
| dc.date.issued | 2015-05 | |
| dc.description.abstract | We compare Besov spaces B-p,q(0,b) with zero classical smoothness and logarithmic smoothness b defined by using the Fourier transform with the corresponding spaces:B-p,q(0,b) defined by means of the modulus of smoothness. In particular, we show that B-p,q(0,b+1/2) = B-2,2(0,b) for b > -1/2. We also determine the dual of In:B-p,q(0,b) with the help of logarithmic Lipschitz spaces Lip(p,q)((1,-alpha)) Finally we show embeddings between spaces Lip(p,q)((1,-alpha)) and B-p,q(1,b) which complement and improve embeddings established by Haroske (2000). | 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/29082 | |
| dc.identifier.doi | 10.1016/j.jmaa.2014.12.034 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.officialurl | https//doi.org/10.1016/j.jmaa.2014.12.034 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/science/article/pii/S0022247X14011561 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/22984 | |
| dc.issue.number | 1 | |
| dc.journal.title | Journal of Mathematical Analysis and Applications | |
| dc.language.iso | eng | |
| dc.page.final | 84 | |
| dc.page.initial | 71 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51 | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Espacios de Besov | |
| dc.subject.keyword | Besov spaces | |
| dc.subject.keyword | Logarithmic smoothness | |
| dc.subject.keyword | Lipschitz spaces | |
| dc.subject.keyword | Limiting interpolation spaces | |
| dc.subject.ucm | Matemáticas (Matemáticas) | |
| dc.subject.unesco | 12 Matemáticas | |
| dc.title | On Besov spaces of logarithmic smoothness and Lipschitz spaces | en |
| dc.type | journal article | |
| dc.volume.number | 425 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | ad35279f-f928-4b72-a5bd-e422662ac4c1 | |
| relation.isAuthorOfPublication | d810d5fb-713a-4676-aa2e-3fc94b61eea7 | |
| relation.isAuthorOfPublication.latestForDiscovery | d810d5fb-713a-4676-aa2e-3fc94b61eea7 |
Download
Original bundle
1 - 1 of 1
