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Extension operators for smooth functions on compact subsets of the reals

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Extension operators for smooth functions on compact subsets of the reals

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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 2021-09-14T03:33:54Z
dc.date.available 2021-09-14T03:33:54Z
dc.date.issued 2020-08 es_ES
dc.identifier.issn 0025-5874 es_ES
dc.identifier.uri http://hdl.handle.net/10251/172322
dc.description.abstract [EN] We introduce sufficient as well as necessary conditions for a compact set K such that there is a continuous linear extension operator from the space of restrictions C-infinity (K) = {F vertical bar(K) : F is an element of C-infinity (R)} to C-infinity (R). This allows us to deal with examples of the form K = {a(n) : n is an element of N} boolean OR{0} for a(n) -> 0 previously considered by Fefferman and Ricci as well as Vogt. es_ES
dc.description.sponsorship The research of all authors was partially supported by GVA AICO/2016/054 . The research of the second author was partially supported by the project MTM2016-76647-P. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Mathematische Zeitschrift es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Extension operator es_ES
dc.subject Spaces of smooth functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Extension operators for smooth functions on compact subsets of the reals es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00209-019-02388-5 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//AICO%2F2016%2F054/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ 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.description.bibliographicCitation Frerick, L.; Jorda Mora, E.; Wengenroth, J. (2020). Extension operators for smooth functions on compact subsets of the reals. Mathematische Zeitschrift. 295(3-4):1537-1552. https://doi.org/10.1007/s00209-019-02388-5 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00209-019-02388-5 es_ES
dc.description.upvformatpinicio 1537 es_ES
dc.description.upvformatpfin 1552 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 295 es_ES
dc.description.issue 3-4 es_ES
dc.relation.pasarela S\420210 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
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