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Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space |
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| Authors: | Lizaveta Ihnatsyeva Riikka Korte |
| Affiliation: | Department of Mathematics and Statistics, Finland |
| Abstract: | We study Sobolev type spaces defined in terms of sharp maximal functions on Ahlfors regular subsets of  and the relation between these spaces and traces of classical Sobolev spaces. |
| Keywords: | Sobolev space Besov space Ahlfors regular set sharp maximal function 46E35 |