We obtain a sharp probability bound on the maximal function of a strong subordinate of a bounded submartingale. An analogous inequality also holds for stochastic integrals in which the integrator is a bounded submartingale and the integrand is a bounded predictable process.
@article{1176988384,
author = {Hammack, William},
title = {Sharp Inequalities for the Distribution of a Stochastic Integral in Which the Integrator is a Bounded Submartingale},
journal = {Ann. Probab.},
volume = {23},
number = {3},
year = {1995},
pages = { 223-235},
language = {en},
url = {http://dml.mathdoc.fr/item/1176988384}
}
Hammack, William. Sharp Inequalities for the Distribution of a Stochastic Integral in Which the Integrator is a Bounded Submartingale. Ann. Probab., Tome 23 (1995) no. 3, pp. 223-235. http://gdmltest.u-ga.fr/item/1176988384/