We consider function spaces of Besov, Triebel-Lizorkin, Bessel-potential and Sobolev type on , equipped with power weights , γ > -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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm208-3-5,
author = {Martin Meyries and Mark Veraar},
title = {Sharp embedding results for spaces of smooth functions with power weights},
journal = {Studia Mathematica},
volume = {209},
year = {2012},
pages = {257-293},
zbl = {1272.46027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm208-3-5}
}
Martin Meyries; Mark Veraar. Sharp embedding results for spaces of smooth functions with power weights. Studia Mathematica, Tome 209 (2012) pp. 257-293. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm208-3-5/