Agarwal, Ravi P.Otero Espinar, María VictoriaPerera, KanishkaRodríguez Vivero, Dolores2020-06-062020-06-062006Agarwal, 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/2006/381211687-1847http://hdl.handle.net/10347/22866We 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.engCopyright © 2006 Ravi P. Agarwal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly citedhttps://creativecommons.org/licenses/by/2.0Differential EquationReal NumberPartial Differential EquationOrdinary Differential EquationFunctional Analysisjournal article10.1155/ADE/2006/38121open access