|
Archivo Abierto Institucional de la Universidad Carlos III de Madrid >
Investigación >
Departamentos >
Departamento de Matemáticas >
Grupo de Análisis Matemático Aplicado (GAMA) >
DM - GAMA - Comunicaciones en Congresos y otros eventos >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6490
|
| Title: | Approximation theory for weighted Sobolev spaces on curves |
| Author(s): | Álvarez, Venancio
Pestana, Domingo
Rodríguez, José M.
Romera, Elena |
| Publisher: | Universidad de La Rioja |
| Issued date: | 2001 |
| Citation: | Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández (Luis Español y Juan L. Varona, eds), pp. 487-503 |
| URI: | http://hdl.handle.net/10016/6490 |
| ISBN: | 84-95301-56-3 |
| Description: | 17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.
MR#: MR1882649 (2003c:42002) |
| Abstract: | In 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. |
| Sponsor: | Research of V. Álvarez, D. Pestana and J.M. Rodríguez partially supported by a grant from DGI, BFM2000-0206-C04-01, Spain. |
| Review: | PeerReviewed |
| Publisher version: | http://www.emis.de/proceedings/Chicho2001/ |
| Keywords: | Weighted Sobolev spaces
Polynomial approximation
Multiplication operator
Szegö theorem
Zeroes of orthogonal polynomials |
| Appears in Collections: | DM - GAMA - Comunicaciones en Congresos y otros eventos
|
Items in E-Archivo are protected by copyright, with all rights reserved, unless otherwise indicated.
|
