RT Journal Article T1 Weighted Sobolev spaces: Markov-type inequalities and duality A1 Marcellán Español, Francisco José A1 Quintana, Yamilet A1 Rodríguez García, José Manuel AB Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. The aim of this paper is to prove several important properties of weighted Sobolev spaces: separability, reflexivity, uniform convexity, duality and Markov-type inequalities. PB Springer Nature SN 1664-3607 YR 2018 FD 2018-08 LK https://hdl.handle.net/10016/33765 UL https://hdl.handle.net/10016/33765 LA eng NO Francisco Marcellán: Supported in part by two Grants from Ministerio de Economía y Competitividad (MTM2012-36732-C03-01 and MTM2015-65888-C4-2-P), Spain. Yamilet Quintana: Supported in part by a Grant from Ministerio de Economía y Competitividad (MTM2012-36732-C03-01), Spain. José M. Rodríguez: Supported in part by three Grants from Ministerio de Economía y Competititvidad, Agencia Estatal de Investigacin (AEI) and Fondo Europeo de Desarrollo Regional (FEDER) (MTM2013-46374-P, MTM2016-78227-C2-1-P and MTM2015-69323-REDT), Spain, and a Grant from CONACYT (FOMIX-CONACyT-UAGro 249818), México. DS e-Archivo RD 3 may. 2024