Sharp embeddings of Besov-type spaces
✍ Scribed by Petr Gurka; Bohumír Opic
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 364 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
## Abstract We establish embeddings for Bessel potential spaces modeled upon Lorentz–Karamata spaces with order of smoothness less than one. The target spaces are of Hölder‐continuous type. In the super‐limiting case we also prove that the embedding is sharp and fails to be compact. (© 2007 WILEY‐V
This paper is devoted to the study of the superposition operator T f (g) := f • g in the framework of Lizorkin-Triebel spaces F s p,q (R) and Besov spaces B s p,q (R). For the case s > 1+(1/ p), 1 < p < ∞, 1 ≤ q ≤ ∞, it is natural to conjecture the following: the operator T f takes F s p,q (R) to it
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