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Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorRodríguez, José M.
dc.contributor.authorÁlvarez, Venancio
dc.contributor.authorRomera, Elena
dc.contributor.authorPestana, Domingo
dc.date.accessioned2010-01-19T09:07:52Z
dc.date.available2010-01-19T09:07:52Z
dc.date.issued2004-02
dc.description36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.-- Part II of this paper published in: Approx. Theory Appl. 18(2): 1-32 (2002), available at: http://e-archivo.uc3m.es/handle/10016/6483
dc.descriptionMR#: MR2047389 (2005k:42062)
dc.descriptionZbl#: Zbl 1081.42024
dc.description.abstractIn this paper we present a definition of Sobolev spaces with respect to general measures, prove some useful technical results, some of them generalizations of classical results with Lebesgue measure and find general conditions under which these spaces are complete. These results have important consequences in approximation theory. We also find conditions under which the evaluation operator is bounded.
dc.description.sponsorshipResearch by first (J.M.R.), third (E.R.) and fourth (D.P.) authors was partially supported by a grant from DGI (BFM 2000-0206-C04-01), Spain.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationActa Applicandae Mathematicae, 2004, vol. 80, n. 3, p. 273-308
dc.identifier.doi10.1023/B:ACAP.0000018790.82924.72
dc.identifier.issn0167-8019 (Print)
dc.identifier.issn1572-9036 (Online)
dc.identifier.urihttps://hdl.handle.net/10016/6482
dc.language.isoeng
dc.publisherSpringer
dc.relation.publisherversionhttp://dx.doi.org/10.1023/B:ACAP.0000018790.82924.72
dc.rights© Springer
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherSobolev spaces
dc.subject.otherWeights
dc.subject.otherOrthogonal polynomials
dc.titleGeneralized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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