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arxiv: math/0601682 · v1 · submitted 2006-01-27 · 🧮 math.FA

Local approximations and intrinsic characterizations of spaces of smooth functions on regular subsets of R^n

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keywords approximationsfunctionsintrinsiclocalregularspacessubsetsbesov
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We give an intrinsic characterization of the restrictions of Sobolev, Triebel-Lizorkin and Besov spaces to regular subsets of $R^n$ via sharp maximal functions and local approximations.

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