RT Journal Article
T1 Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I
A1 Rodríguez, José M.
A1 Álvarez, Venancio
A1 Romera, Elena
A1 Pestana, Domingo
AB 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.
PB Springer
SN 0167-8019 (Print)
SN 1572-9036 (Online)
YR 2004
FD 2004-02
LK https://hdl.handle.net/10016/6482
UL https://hdl.handle.net/10016/6482
LA eng
NO 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
NO MR#: MR2047389 (2005k:42062)
NO Zbl#: Zbl 1081.42024
NO 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.
DS e-Archivo
RD 18 may. 2024