Continuity of symmetric stable processes
β Scribed by John P Nolan
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 491 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0047-259X
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π SIMILAR VOLUMES
In this paper we study potential-theoretic properties of the symmetric :-stable processes (0<:<2): establishing the boundary Harnack principle for ratios of :-harmonic functions on any open sets, identifying the Martin boundary with the Euclidean boundary for open sets with a certain interior fatnes
## Abstract Let __X~t~__ be a symmetric stable process on __d__βdimensional Euclidean space \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {R}}^d$\end{document}. Let __F__(__x__, __y__) be a symmetric positive bounded function on \documentclass{article}\usepac
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