Basic properties of Sobolev's spaces on time scales
Agarwal, Ravi P.
Vivero, Dolores R.
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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.