## 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__^.
✦ LIBER ✦
Extrapolation Results on General Besov-Hölder-Lipschitz Spaces
✍ Scribed by Júlio S. Neves
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 285 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Intrinsic characterizations of Besov spa
✍
Sophie Dispa
📂
Article
📅
2003
🏛
John Wiley and Sons
🌐
English
⚖ 196 KB
Potential Theory on Lipschitz Domains in
✍
Marius Mitrea; Michael Taylor
📂
Article
📅
2000
🏛
Elsevier Science
🌐
English
⚖ 450 KB
We continue a program to develop layer potential techniques for PDE on Lipschitz domains in Riemannian manifolds. Building on L p and Hardy space estimates established in previous papers, here we establish Sobolev and Besov space estimates on solutions to the Dirichlet and Neumann problems for the L