## 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__^.
On new characterizations of Lipschitz and Besov type spaces
✍ Scribed by D. I. Cruz-Báez; J. Rodríguez
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 210 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We define a class of weighted Besov spaces and we obtain a characterization of this class by means of an appropriate class of weighted Lipschitz __ϕ__ spaces. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
## Abstract In this paper we obtain new characterizations of the distributions in certain anisotropic Besov spaces associated with expansive matrices. Also, anisotropic Herz type spaces are considered and the Fourier transform is analyzed on anisotropic Besov and Herz spaces.
We characterize the Besov regularity of functions on Lipschitz domains by means of their error of approximation by certain sequences of operators. As an application, we consider wavelet decompositions and we characterize Besov quasi-norms in terms of weighted sequence norms. 273