Estimates for the distribution of the first exit time of α-stable processes
Wiesław Cupała
Discussiones Mathematicae Probability and Statistics, Tome 22 (2002), p. 53-59 / Harvested from The Polish Digital Mathematics Library

The Varopoulos-Hardy-Littlewood theory and the spectral analysis are used to estimate the tail of the distribution of the first exit time of α-stable processes.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:287692
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1031,
     author = {Wies\l aw Cupa\l a},
     title = {Estimates for the distribution of the first exit time of $\alpha$-stable processes},
     journal = {Discussiones Mathematicae Probability and Statistics},
     volume = {22},
     year = {2002},
     pages = {53-59},
     zbl = {1036.60042},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1031}
}
Wiesław Cupała. Estimates for the distribution of the first exit time of α-stable processes. Discussiones Mathematicae Probability and Statistics, Tome 22 (2002) pp. 53-59. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1031/

[000] [1] D. Levin and M. Solomyak, Rozenblum-Lieb-Cwikel inequality for Markov generators, J. d'Anal. Math. 71 (1997), 173-193. | Zbl 0910.47017

[001] [2] N.T. Varopoulos, Hardy-Littlewood theory for semigroups, J. Funct. Anal. 63 (1985), 240-260. | Zbl 0608.47047