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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6481
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| Title: | 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 |
| URI: | http://hdl.handle.net/10016/6481 |
| ISSN: | 1068-9613 |
| Description: | 6 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.
MR#: MR2219917 (2006k:42051)
Zbl#: Zbl 1146.42005 |
| 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 complete. These results have important consequences in approximation theory. We also find conditions under which the evaluation operator is bounded. |
| 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 |
| Rights: | © Kent State University |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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