Abstract
We obtain wavelet characterizations of Besov spaces and the Triebel-Lizorkin spaces associated with A∞ loc-weights. These characterizations are used to show that our wavelet bases are also greedy.
| Original language | English |
|---|---|
| Pages (from-to) | 656-673 |
| Number of pages | 18 |
| Journal | Journal of Approximation Theory |
| Volume | 161 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Dec 2009 |
| Externally published | Yes |
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Keywords
- Besov space
- Greedy basis
- Triebel-Lizorkin space
- Unconditional basis
- Wavelet
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
- Mathematics(all)
- Numerical Analysis
Cite this
Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with Ap loc-weights. / Izuki, Mitsuo; Sawano, Yoshihiro.
In: Journal of Approximation Theory, Vol. 161, No. 2, 12.2009, p. 656-673.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with Ap loc-weights
AU - Izuki, Mitsuo
AU - Sawano, Yoshihiro
PY - 2009/12
Y1 - 2009/12
N2 - We obtain wavelet characterizations of Besov spaces and the Triebel-Lizorkin spaces associated with A∞ loc-weights. These characterizations are used to show that our wavelet bases are also greedy.
AB - We obtain wavelet characterizations of Besov spaces and the Triebel-Lizorkin spaces associated with A∞ loc-weights. These characterizations are used to show that our wavelet bases are also greedy.
KW - Besov space
KW - Greedy basis
KW - Triebel-Lizorkin space
KW - Unconditional basis
KW - Wavelet
UR - http://www.scopus.com/inward/record.url?scp=70449527780&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70449527780&partnerID=8YFLogxK
U2 - 10.1016/j.jat.2008.12.003
DO - 10.1016/j.jat.2008.12.003
M3 - Article
VL - 161
SP - 656
EP - 673
JO - Journal of Approximation Theory
JF - Journal of Approximation Theory
SN - 0021-9045
IS - 2
ER -