Sharp embedding results for spaces of smooth functions with power weights
Studia Mathematica, Tome 208 (2012) no. 3, pp. 257-293
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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
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author = {Martin Meyries and Mark Veraar},
title = {Sharp embedding results for spaces of smooth functions with power weights},
journal = {Studia Mathematica},
pages = {257--293},
publisher = {mathdoc},
volume = {208},
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year = {2012},
doi = {10.4064/sm208-3-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm208-3-5/}
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TY - JOUR AU - Martin Meyries AU - Mark Veraar TI - Sharp embedding results for spaces of smooth functions with power weights JO - Studia Mathematica PY - 2012 SP - 257 EP - 293 VL - 208 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm208-3-5/ DO - 10.4064/sm208-3-5 LA - en ID - 10_4064_sm208_3_5 ER -
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
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