A representation theorem for symmetric stable processes and stable measures onH
β Scribed by J. Kuelbs
- Publisher
- Springer
- Year
- 1973
- Tongue
- English
- Weight
- 608 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1432-2064
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π SIMILAR VOLUMES
Martin boundaries and integral representations of positive functions which are harmonic in a bounded domain D with respect to Brownian motion are well understood. Unlike the Brownian case, there are two different kinds of harmonicity with respect to a discontinuous symmetric stable process. One kind
It is shown in this paper that the conditional gauge theorem holds for symmetric :-stable processes on bounded C 1, 1 domains in R n where 0<:<2 and n 2. Two of the major tools used to prove this conditional gauge theorem are logarithmic Sobolev inequality and intrinsic ultracontractivity. ## 1997