Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials: a survey

Rodríguez, José M.; Álvarez, Venancio; Romera, Elena; Pestana, Domingo

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Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials: a survey

Autor(es): Rodríguez, José M.; Álvarez, Venancio; Romera, Elena; Pestana, Domingo

Editorial: Kent State University

Fecha de edición: 2006

Cita: Electronic Transactions on Numerical Analysis, 2006, vol. 24, p. 88-93

ISSN: 1068-9613

Agradecimientos: Research by first author (J.M.R.) was partially supported by grants from DGI (BFM 2003-06335-C03-02 and BFM 2003-04870), Spain. Research by second author (V.A.) was partially supported by grants from MCYT (MTM 2004-00078) and Junta de Andalucía (FQM-210), Spain. Research by third author (E.R.) was partially supported by a grant from DGI (BFM 2003-06335-C03-02), Spain. Research by fourth author (D.P.) was partially supported by grants from DGI (BFM 2003-06335-C03-02 and BFM 2003-04870), Spain.

Revisado: PeerReviewed

Versión del editor: http://etna.mcs.kent.edu/

Palabras clave: Sobolev spaces , Weights , Orthogonal polynomials

URI: http://hdl.handle.net/10016/6481

Derechos: © Kent State University

Resumen:

In 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 com [+]