Pointwise Lipschitz functions on metric spaces
| dc.contributor.author | Durand-Cartagena, Estibalitz | |
| dc.contributor.author | Jaramillo Aguado, Jesús Ángel | |
| dc.date.accessioned | 2023-06-20T00:15:38Z | |
| dc.date.available | 2023-06-20T00:15:38Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | For a metric space X, we study the space D(infinity)(X) of bounded functions on X whose pointwise Lipschitz constant is uniformly bounded. D(infinity)(X) is compared with the space LIP(infinity)(X) of bounded Lipschitz functions on X, in terms of different properties regarding the geometry of X. We also obtain a Banach-Stone theorem in this context. In the case of a metric measure space, we also compare D(infinity)(X) with the Newtonian-Sobolev space N(1,infinity)(X). In particular, if X Supports a doubling measure and satisfies a local Poincare inequality, we obtain that D(infinity)(X) = N(1,infinity)(X). | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGES (Spain) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16235 | |
| dc.identifier.doi | 10.1016/j.jmaa.2009.09.039 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0022247X0900780X | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42288 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of Mathematical Analysis and Applications | |
| dc.language.iso | eng | |
| dc.page.final | 548 | |
| dc.page.initial | 525 | |
| dc.publisher | Academic Press Inc Elsevier Science | |
| dc.relation.projectID | MTM2006-03531 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Lipschitz functions | |
| dc.subject.keyword | Banach–Stone theorem | |
| dc.subject.keyword | Metric measure spaces | |
| dc.subject.keyword | Newtonian–Sobolev spaces | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Pointwise Lipschitz functions on metric spaces | |
| dc.type | journal article | |
| dc.volume.number | 363 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 8b6e753b-df15-44ff-8042-74de90b4e3e9 | |
| relation.isAuthorOfPublication.latestForDiscovery | 8b6e753b-df15-44ff-8042-74de90b4e3e9 |
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