Embeddings of doubling weighted Besov spaces

Dorothee D. Haroske; Philipp Skandera

Banach Center Publications (2014)

  • Volume: 102, Issue: 1, page 105-119
  • ISSN: 0137-6934

Abstract

top
We study continuous embeddings of Besov spaces of type B p , q s ( , 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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.