Automorphism groups of causal symmetric spaces of Cayley type and bounded symmetric domains
β Scribed by Soji Kaneyuki
- Publisher
- SP Science China Press
- Year
- 2005
- Tongue
- English
- Weight
- 211 KB
- Volume
- 48
- Category
- Article
- ISSN
- 1674-7283
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π SIMILAR VOLUMES
## Abstract New Besov spaces of Mβharmonic functions are introduced on a bounded symmetric domain in β^__n__^. Various characterizations of these spaces are given in terms of the intrinsic metrics, the LaplaceβBeltrami operator and the action of the group of the domain.
Let D be a bounded symmetric domain of tube type and 7 be the Shilov boundary of D. Denote by H 2 (D) and A 2 (D) the Hardy and Bergman spaces, respectively, of holomorphic functions on D; and let B(H 2 (D)) and B(A 2 (D)) denote the closed unit balls in these spaces. For an integer l 0 we define th