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

Author(s): Rodríguez, José M.; Álvarez, Venancio; Romera, Elena; Pestana, Domingo

Publisher: Kent State University

Issued date: 2006

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

ISSN: 1068-9613

Sponsor: 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.

Review: PeerReviewed

Publisher version: http://etna.mcs.kent.edu/

Keywords: Sobolev spaces , Weights , Orthogonal polynomials

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

Rights: © Kent State University

Abstract:

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 [+]