A zero-one half law for porosity of measures
| dc.contributor.author | Mera Rivas, María Eugenia | |
| dc.contributor.author | Morán Cabré, Manuel | |
| dc.date.accessioned | 2023-06-21T01:36:24Z | |
| dc.date.available | 2023-06-21T01:36:24Z | |
| dc.date.issued | 2000 | |
| dc.description.abstract | We prove that the upper porosity of any Radon probability measure is either 0 or 1/2 | |
| dc.description.department | Decanato | |
| dc.description.faculty | Fac. de Ciencias Económicas y Empresariales | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/27275 | |
| dc.identifier.issn | 2255-5471 | |
| dc.identifier.relatedurl | https://economicasyempresariales.ucm.es/working-papers-ccee | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/64137 | |
| dc.issue.number | 10 | |
| dc.language.iso | eng | |
| dc.page.total | 17 | |
| dc.publication.place | Madrid | |
| dc.publisher | Facultad de Ciencias Económicas y Empresariales. Decanato | |
| dc.relation.ispartofseries | Documentos de Trabajo de la Facultad de Ciencias Económicas y Empresariales | |
| dc.rights | Atribución-NoComercial-CompartirIgual 3.0 España | |
| dc.rights.accessRights | open access | |
| dc.rights.uri | https://creativecommons.org/licenses/by-nc-sa/3.0/es/ | |
| dc.subject.keyword | Doubling condition | |
| dc.subject.keyword | Porosity of sets | |
| dc.subject.keyword | Porosity of measures | |
| dc.subject.keyword | Tangent measures. | |
| dc.subject.ucm | Probabilidades (Matemáticas) | |
| dc.title | A zero-one half law for porosity of measures | |
| dc.type | technical report | |
| dc.volume.number | 2000 | |
| dcterms.references | Coifmann, R.R. and G. Weiss, Analyse Harmonique Non-commutative sur Certains Espaces Homogènes, Lectures Notes in Math. vol. 242 (1971), Springer-Verlag. Federer, H., Geometric Measure Theory (1969), Springer Verlag. Eckmann, J.P., E. Järvenpää and M. Järvenpää, Porosities and Dimensions of Measures, Nonlinearity 13 (2000), 1-18. Guzmán, M. de, Differentiation of Integrals in IRn, Lectures Notes in Math. Vol. 481 (1975), Springer-Verlag. Mattila, P., Geometry of sets and measures in Euclidean spaces (1995), Cambridge University Press. Preiss, D., Geometry of mensures in IRn, Ann. of Math.,(2) 125 (1987), 537-643. Salli, A., On the Minkowski dimension of strongly porous fractal sets in IRn, Proc. London Math. Soc, (3) 62 (1991), 353-372. Thomson, B.S., Real Functions, Lectures Notes in Math, vol. 1170 (1985), Springer-Verlag. Zajicek, L., Porosity and o-porosity, Real Analysis Exchange, 13 (1987-88), 314-350. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 71245121-5334-43ae-92e3-eb84a42790e8 | |
| relation.isAuthorOfPublication | 36e295dc-70b7-4ede-868c-a83357a04413 | |
| relation.isAuthorOfPublication.latestForDiscovery | 71245121-5334-43ae-92e3-eb84a42790e8 |
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