Basic properties of Sobolev’s spaces on time scales. (English) Zbl 1139.39022

Summary: We study the theory of Sobolev spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue \(\Delta \)-measure; analogous properties to that valid for Sobolev spaces of functions defined on an arbitrary open interval of the real numbers are derived.


39A12 Discrete version of topics in analysis
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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