Advances in Difference Equations
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.
Agarwal, R.P., Otero-Espinar, V., Vivero, D.R. & Perera K. (2006). Basic properties of sobolev's spaces on time scales. Advances in Difference Equations, 2006.