1Department of Mathematics Karlsruhe Institute of Technology 76128 Karlsruhe, Germany 2Delft Institute of Applied Mathematics Delft University of Technology P.O. Box 5031 2600 GA Delft, The Netherlands
Studia Mathematica, Tome 208 (2012) no. 3, pp. 257-293
We consider function spaces of Besov, Triebel–Lizorkin, Bessel-potential and Sobolev type on $\mathbb R^d$, equipped with power weights $w(x) = |x|^\gamma$, $\gamma>-d$. We prove two-weight Sobolev embeddings for these spaces. Moreover, we precisely characterize for which parameters the embeddings hold. The proofs are presented in such a way that they also hold for vector-valued functions.
Keywords:
consider function spaces besov triebel lizorkin bessel potential sobolev type mathbb equipped power weights gamma gamma d prove two weight sobolev embeddings these spaces moreover precisely characterize which parameters embeddings proofs presented vector valued functions
Affiliations des auteurs :
Martin Meyries
1
;
Mark Veraar
2
1
Department of Mathematics Karlsruhe Institute of Technology 76128 Karlsruhe, Germany
2
Delft Institute of Applied Mathematics Delft University of Technology P.O. Box 5031 2600 GA Delft, The Netherlands
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Martin Meyries; Mark Veraar. Sharp embedding results for spaces of smooth functions with power weights. Studia Mathematica, Tome 208 (2012) no. 3, pp. 257-293. doi: 10.4064/sm208-3-5
