We establish integral tests for upper and lower functions for Brownian motion in Banach spaces of infinite-dimension as well as some related results for Brownian motion in $\mathbb{R}^d$.
Publié le : 1975-04-14
Classification:
Gaussian measures,
law of the iterated logarithm,
Brownian motion in a Banach space,
measurable norm,
integral tests,
upper and lower functions,
60G15,
60G17,
60B05
@article{1176996396,
author = {Kuelbs, J.},
title = {Sample Path Behavior for Brownian Motion in Banach Spaces},
journal = {Ann. Probab.},
volume = {3},
number = {6},
year = {1975},
pages = { 247-261},
language = {en},
url = {http://dml.mathdoc.fr/item/1176996396}
}
Kuelbs, J. Sample Path Behavior for Brownian Motion in Banach Spaces. Ann. Probab., Tome 3 (1975) no. 6, pp. 247-261. http://gdmltest.u-ga.fr/item/1176996396/