Cita:
Electronic Transactions on Numerical Analysis, 2006, vol. 24, p. 88-93
ISSN:
1068-9613
Patrocinador:
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.
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 comIn 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.[+][-]
Nota:
6 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.
