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dc.contributor.author | Frerick, Leonhard![]() |
es_ES |
dc.contributor.author | Jorda Mora, Enrique![]() |
es_ES |
dc.contributor.author | Wengenroth, Jochen![]() |
es_ES |
dc.date.accessioned | 2017-06-15T09:10:11Z | |
dc.date.available | 2017-06-15T09:10:11Z | |
dc.date.issued | 2016 | |
dc.identifier.issn | 0213-2230 | |
dc.identifier.uri | http://hdl.handle.net/10251/82874 | |
dc.description.abstract | [EN] For a compact set K subset of R-d we characterize the existence of a linear extension operator E: E (K) -> C-infinity(R-d) for the space of Whitney jets E (K) without loss of derivatives, that is, it satisfies the best possible continuity estimates sup{vertical bar partial derivative(alpha) E(f)(x)vertical bar : vertical bar alpha vertical bar <= n, x is an element of R-d} <= C-n parallel to f parallel to(n), where parallel to . parallel to(n) denotes the n-th Whitney norm. The characterization is by a surprisingly simple purely geometric condition introduced by Jonsson, Sjogren, and Wallis: there is rho is an element of (0, 1) such that, for every x(0) is an element of K and epsilon is an element of (0, 1), there are d points x(1)..., x(d) in K n B(x(0), epsilon) satisfying dist(x(n+1), affine hull{x(0),..., x(n)}) = >= rho epsilon for all n is an element of {0,..., d - 1}. | es_ES |
dc.description.sponsorship | The research of the first and second named authors was partially supported MINECO, Project MTM2013-43540-P. | |
dc.language | Inglés | es_ES |
dc.publisher | European Mathematical Society | es_ES |
dc.relation.ispartof | Revista Matemática Iberoamericana | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Whitney jets | es_ES |
dc.subject | Extension operator | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Whitney extension operators without loss of derivatives | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.4171/RMI/888 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Politécnica Superior de Alcoy - Escola Politècnica Superior d'Alcoi | es_ES |
dc.description.bibliographicCitation | Frerick, L.; Jorda Mora, E.; Wengenroth, J. (2016). Whitney extension operators without loss of derivatives. Revista Matemática Iberoamericana. 32(2):377-390. https://doi.org/10.4171/RMI/888 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.4171/RMI/888 | es_ES |
dc.description.upvformatpinicio | 377 | es_ES |
dc.description.upvformatpfin | 390 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 32 | es_ES |
dc.description.issue | 2 | es_ES |
dc.relation.senia | 324897 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad |