Embeddings of doubling weighted Besov spaces

Dorothee D. Haroske, and Philipp Skandera. "Embeddings of doubling weighted Besov spaces." Banach Center Publications 102.1 (2014): 105-119. <http://eudml.org/doc/281652>.

@article{DorotheeD2014,
abstract = {We study continuous embeddings of Besov spaces of type $B_\{p,q\}^s(ℝⁿ,w)$, where s ∈ ℝ, 0 < p < ∞, 0 < q ≤ ∞, and the weight w is doubling. This approach generalises recent results about embeddings of Muckenhoupt weighted Besov spaces. Our main argument relies on appropriate atomic decomposition techniques of such weighted spaces; here we benefit from earlier results by Bownik. In addition, we discuss some other related weight classes briefly and compare corresponding results.},
author = {Dorothee D. Haroske, Philipp Skandera},
journal = {Banach Center Publications},
keywords = {continuous embeddings; weighted Besov space; atomic decomposition},
language = {eng},
number = {1},
pages = {105-119},
title = {Embeddings of doubling weighted Besov spaces},
url = {http://eudml.org/doc/281652},
volume = {102},
year = {2014},
}

TY - JOUR
AU - Dorothee D. Haroske
AU - Philipp Skandera
TI - Embeddings of doubling weighted Besov spaces
JO - Banach Center Publications
PY - 2014
VL - 102
IS - 1
SP - 105
EP - 119
AB - We study continuous embeddings of Besov spaces of type $B_{p,q}^s(ℝⁿ,w)$, where s ∈ ℝ, 0 < p < ∞, 0 < q ≤ ∞, and the weight w is doubling. This approach generalises recent results about embeddings of Muckenhoupt weighted Besov spaces. Our main argument relies on appropriate atomic decomposition techniques of such weighted spaces; here we benefit from earlier results by Bownik. In addition, we discuss some other related weight classes briefly and compare corresponding results.
LA - eng
KW - continuous embeddings; weighted Besov space; atomic decomposition
UR - http://eudml.org/doc/281652
ER -