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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.

MSC:

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

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