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Approximation theory for weighted Sobolev spaces on curves

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorÁlvarez, Venancio
dc.contributor.authorPestana, Domingo
dc.contributor.authorRodríguez, José M.
dc.contributor.authorRomera, Elena
dc.date.accessioned2010-01-19T11:30:27Z
dc.date.available2010-01-19T11:30:27Z
dc.date.issued2001
dc.description17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.
dc.descriptionMR#: MR1882649 (2003c:42002)
dc.description.abstractIn this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete. We also prove the density of the polynomials in these spaces for non-closed compact curves and, finally, we find conditions under which the multiplication operator is bounded on the completion of polynomials. These results have applications to the study of zeroes and asymptotics of Sobolev orthogonal polynomials.
dc.description.sponsorshipResearch of V. Álvarez, D. Pestana and J.M. Rodríguez partially supported by a grant from DGI, BFM2000-0206-C04-01, Spain.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationMargarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández (Luis Español y Juan L. Varona, eds), pp. 487-503
dc.identifier.isbn84-95301-56-3
dc.identifier.urihttps://hdl.handle.net/10016/6490
dc.language.isoeng
dc.publisherUniversidad de La Rioja
dc.relation.publisherversionhttp://www.emis.de/proceedings/Chicho2001/
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherWeighted Sobolev spaces
dc.subject.otherPolynomial approximation
dc.subject.otherMultiplication operator
dc.subject.otherSzegö theorem
dc.subject.otherZeroes of orthogonal polynomials
dc.titleApproximation theory for weighted Sobolev spaces on curves
dc.typeconference paper*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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