Entropy numbers in sequence spaces with an application to weighted function spaces
✍ Scribed by Thomas Kühn
- Book ID
- 108159054
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 200 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0021-9045
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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
## Abstract In this paper we study weighted function spaces of type __B__(ℝ^__n__^, __Q__(__x__)) and __F__(ℝ^__n__^, __Q__(__x__)), where __Q(x)__ is a weight function of at most polynomial growth. Of special interest are the weight functions __Q(x)__ = (1 + |x|^2^)^α/2^ with α ϵ ℝ. The main resul