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

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

2006-01-27

arxiv.org/abs/math/0601682v1

Mathematics

Functional Analysis

Scientific paper

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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