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

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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.authorRomera, Elena
dc.contributor.authorPestana, Domingo
dc.contributor.authorÁlvarez, Venancio
dc.date.accessioned2010-01-19T09:30:55Z
dc.date.available2010-01-19T09:30:55Z
dc.date.issued2002-06
dc.description32 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.-- Part I of this paper published in: Acta Appl. Math. 80(3): 273-308 (2004), available at: http://e-archivo.uc3m.es/handle/10016/6482
dc.descriptionMR#: MR1928169 (2003h:42034)
dc.descriptionZbl#: Zbl 1095.42014
dc.description.abstract^aWe present a definition of general Sobolev spaces with respect to arbitrary measures, $W^{k,p}(\Omega,\mu)$ for $1\leq p\leq\infty$. In Part I [Acta Appl. Math. 80(3): 273-308 (2004), http://e-archivo.uc3m.es/handle/10016/6482] we proved that these spaces are complete under very mild conditions. Now we prove that if we consider certain general types of measures, then $C^\infty_c({\bf R})$ is dense in these spaces. As an application to Sobolev orthogonal polynomials, we study the boundedness of the multiplication operator. This gives an estimation of the zeroes of Sobolev orthogonal polynomials.en
dc.description.sponsorshipResearch partially supported by a grant from DGES (MEC), Spain.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationApproximation Theory and its Applications, 2002, vol. 18, n. 2, p. 1-32
dc.identifier.doi10.1007/BF02837397
dc.identifier.issn1000-9221 (Print)
dc.identifier.issn1573-8175 (Online)
dc.identifier.urihttps://hdl.handle.net/10016/6483
dc.language.isoeng
dc.publisherSpringer
dc.relation.publisherversionhttp://dx.doi.org/10.1007/BF02837397
dc.rights© Springer
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherSobolev spaces with respect to measures
dc.subject.otherWeights
dc.subject.otherOrthogonal polynomials
dc.subject.otherCompleteness
dc.titleGeneralized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, II
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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