Harmonic functions on topological groups and symmetric spaces
β Scribed by Cho-Ho Chu; Anthony To-Ming Lau
- Publisher
- Springer-Verlag
- Year
- 2010
- Tongue
- French
- Weight
- 328 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
If f # L 1 (d+) is harmonic in the space GΓK, where + is a radial measure with +(GΓK)=1, we have, by the mean value property f = f V +. Conversely, does this mean value property imply that f is harmonic ? In this paper we give a new and natural proof of a result obtained by P. Ahern, A. Flores, W. R
## 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.