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arXiv:math/0601682 [math.FA]AbstractReferencesReviewsResources

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

Pavel Shvartsman

Published 2006-01-27Version 1

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.

Categories: math.FA
Subjects: 46E35
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