@article{MartinMeyries2012,
abstract = {We consider function spaces of Besov, Triebel-Lizorkin, Bessel-potential and Sobolev type on $ℝ^\{d\}$, equipped with power weights $w(x) = |x|^\{γ\}$, 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.},
author = {Martin Meyries, Mark Veraar},
journal = {Studia Mathematica},
keywords = {weighted function spaces; vector-valued function spaces; Besov spaces; Triebel-Lizorkin spaces; Bessel-potential spaces; Sobolev spaces; Sobolev embedding; Nikol’skiĭ inequality; Jawerth-Franke embeddings},
language = {eng},
number = {3},
pages = {257-293},
title = {Sharp embedding results for spaces of smooth functions with power weights},
url = {http://eudml.org/doc/285667},
volume = {208},
year = {2012},
}
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
VL - 208
IS - 3
SP - 257
EP - 293
AB - We consider function spaces of Besov, Triebel-Lizorkin, Bessel-potential and Sobolev type on $ℝ^{d}$, equipped with power weights $w(x) = |x|^{γ}$, 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.
LA - eng
KW - weighted function spaces; vector-valued function spaces; Besov spaces; Triebel-Lizorkin spaces; Bessel-potential spaces; Sobolev spaces; Sobolev embedding; Nikol’skiĭ inequality; Jawerth-Franke embeddings
UR - http://eudml.org/doc/285667
ER -
