|
Archivo Abierto Institucional de la Universidad Carlos III de Madrid >
Investigación >
Departamentos >
Departamento de Matemáticas >
Grupo de Análisis Matemático Aplicado (GAMA) >
DM - GAMA - Artículos de Revistas >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6482
|
| Title: | Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I |
| Author(s): | Rodríguez, José M.
Álvarez, Venancio
Romera, Elena
Pestana, Domingo |
| Publisher: | Springer |
| Issued date: | Feb-2004 |
| Citation: | Acta Applicandae Mathematicae, 2004, vol. 80, n. 3, p. 273-308 |
| URI: | http://hdl.handle.net/10016/6482 |
| ISSN: | 0167-8019 (Print)
1572-9036 (Online) |
| DOI: | 10.1023/B:ACAP.0000018790.82924.72 |
| Description: | 36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.-- Part II of this paper published in: Approx. Theory Appl. 18(2): 1-32 (2002), available at: http://e-archivo.uc3m.es/handle/10016/6483
MR#: MR2047389 (2005k:42062)
Zbl#: Zbl 1081.42024 |
| 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 (J.M.R.), third (E.R.) and fourth (D.P.) authors was partially supported by a grant from DGI (BFM 2000-0206-C04-01), Spain. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1023/B:ACAP.0000018790.82924.72 |
| Keywords: | Sobolev spaces
Weights
Orthogonal polynomials |
| Rights: | © Springer |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
|
Items in E-Archivo are protected by copyright, with all rights reserved, unless otherwise indicated.
|
