RT Journal Article T1 Basic properties of Sobolev's spaces on time scales A1 Agarwal, Ravi P. A1 Otero Espinar, María Victoria A1 Perera, Kanishka A1 Rodríguez Vivero, Dolores K1 Differential Equation K1 Real Number K1 Partial Differential Equation K1 Ordinary Differential Equation K1 Functional Analysis AB We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue Δ-measure; analogous properties to that valid for Sobolev's spaces of functions defined on an arbitrary open interval of the real numbers are derived. PB SpringerOpen SN 1687-1847 YR 2006 FD 2006 LK http://hdl.handle.net/10347/22866 UL http://hdl.handle.net/10347/22866 LA eng NO Agarwal, R.P., Otero–Espinar, V., Perera, K. et al. Basic properties of Sobolev's spaces on time scales. Adv Differ Equ 2006, 038121 (2006). https://doi.org/10.1155/ADE/2006/38121 NO This research is partially supported by D.G.I. and F.E.D.E.R. project MTM 2004-06652-C03-01, and by Xunta of Galicia and F.E.D.E.R. project PGIDIT05PXIC20702PN, Spain DS Minerva RD 24 abr 2026