6533b7d8fe1ef96bd126abe3
RESEARCH PRODUCT
Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space
Riikka KorteLizaveta Ihnatsyevasubject
Pure mathematicsEight-dimensional spaceEuclidean spaceGeneral Mathematics010102 general mathematicsMathematical analysisSpace (mathematics)01 natural sciencesSobolev inequalitySobolev space0103 physical sciencesBesov spaceInterpolation space010307 mathematical physicsBirnbaum–Orlicz space0101 mathematicsMathematicsdescription
We study Sobolev type spaces defined in terms of sharp maximal functions on Ahlfors regular subsets of R n and the relation between these spaces and traces of classical Sobolev spaces. This extends in a certain way the results of Shvartsman (20) to the case of lower dimensional subsets of the Euclidean space.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-04-29 | Mathematische Nachrichten |