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
✦ LIBER ✦
Bounded compositions on scaling invariant Besov spaces
✍ Scribed by Koch, Herbert; Koskela, Pekka; Saksman, Eero; Soto, Tomás
- Book ID
- 121447046
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 959 KB
- Volume
- 266
- Category
- Article
- ISSN
- 0022-1236
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## Abstract New Besov spaces of M‐harmonic functions are introduced on a bounded symmetric domain in ℂ^__n__^. Various characterizations of these spaces are given in terms of the intrinsic metrics, the Laplace‐Beltrami operator and the action of the group of the domain.
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