A large class of Markov processes satisfying Hunt's hypothesis (H) is displayed. In particular, if $\Phi$ is a Levy-Khinchin exponent, then the Levy process with exponent $\Phi^\alpha (0 < \alpha < 1)$ satisfies (H). That is, every semipolar set is polar.
Publié le : 1986-07-14
Classification:
Hunt's hypothesis (H),
Levy processes,
semipolar sets,
polar sets,
subordinators,
60J45,
31D05
@article{1176992463,
author = {Glover, Joseph and Rao, Murali},
title = {Hunt's Hypothesis (H) and Getoor's Conjecture},
journal = {Ann. Probab.},
volume = {14},
number = {4},
year = {1986},
pages = { 1085-1087},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992463}
}
Glover, Joseph; Rao, Murali. Hunt's Hypothesis (H) and Getoor's Conjecture. Ann. Probab., Tome 14 (1986) no. 4, pp. 1085-1087. http://gdmltest.u-ga.fr/item/1176992463/