We find conditions on the weight w in order to characterize functions in weighted Besov spaces BP,.,; in terms of differences d,f. Remark. Note that in the previous theorem one of the embeddings could have been proved under weaker assumptions. In fact, if 2
Wavelet characterization of weighted spaces
✍ Scribed by J. García-Cuerva; J. M. Martell
- Publisher
- Springer-Verlag
- Year
- 2001
- Tongue
- English
- Weight
- 949 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1050-6926
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📜 SIMILAR VOLUMES
## Abstract The aim of this paper is twofold. First we prove that inhomogeneous wavelets of Daubechies type are unconditional Schauder bases in weighted function spaces of __B^s^~pq~__ and __F^s^~pq~__ type. Secondly we use these results to estimate entropy numbers of compact embeddings between the
The goal of this paper is to provide wavelet characterizations for anisotropic Besov spaces. Depending on the anisotropy, appropriate biorthogonal tensor product bases are introduced and Jackson and Bernstein estimates are proved for two-parameter families of finite-dimensional spaces. These estimat