Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space

Details Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space

2011-09-09

arxiv.org/abs/1109.2030v1

Mathematics

Functional Analysis

18 pages

Scientific paper

We study Sobolev type spaces defined in terms of sharp maximal functions on
Ahlfors regular subsets of the Euclidean space and the relation between these
spaces and traces of classical Sobolev spaces.

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