Entropy Numbers of Embeddings of Besov Spaces in Generalized Lipschitz Spaces
✍ Scribed by Fernando Cobos; Thomas Kühn
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 167 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
## Abstract The aim of this paper is to study the equivalence between quasi‐norms of Besov spaces on domains. We suppose that the domain Ω ⊂ ℝ^__n__^ is a bounded Lipschitz open subset in ℝ^__n__^. First, we define Besov spaces on Ω as the restrictions of the corresponding Besov spaces on ℝ^__n__^.
## Abstract We present characterizations of the Besov spaces of generalized smoothness $ B^{\sigma,N}\_{p,q} $ (ℝ^__n__^ ) via approximation and by means of differences. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
## Abstract It is shown that a Banach space __E__ has type __p__ if and only for some (all) __d__ ≥ 1 the Besov space __B__^(1/__p__ – 1/2)__d__^ ~__p__,__p__~ (ℝ^__d__^ ; __E__) embeds into the space __γ__ (__L__^2^(ℝ^__d__^ ), __E__) of __γ__ ‐radonifying operators __L__^2^(ℝ^__d__^ ) → __E__. A