## Abstract The aim of this paper is to study the equivalence between quasiβnorms of Besov spaces on domains. We suppose that the domain Ξ© β β^__n__^ is a bounded Lipschitz open subset in β^__n__^. First, we define Besov spaces on Ξ© as the restrictions of the corresponding Besov spaces on β^__n__^.
Wavelets in function spaces on Lipschitz domains
β Scribed by Hans Triebel
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 181 KB
- Volume
- 280
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
The spaces $ B^s_{pq} $(β^n^ ) and $ F^s_{pq} $(β^n^ ) can be characterized in terms of Daubechies wavelets for all admitted parameters s, p, q. The paper deals with related intrinsic wavelet frames (which are almost orthogonal bases) in corresponding (subβ)spaces on bounded Lipschitz domains under some restrictions for the parameters. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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