We briefly show an extension of inequalities of Burkholder and Gundy for linear Brownian motion to certain monotone functionals of the $d$-dimensional Brownian convex hull. Our results belong to a class of results that imply that Brownian hulls are much like the one-dimensional maximal process.
@article{1176989794,
author = {Khoshnevisan, Davar},
title = {Moment Inequalities for Functionals of the Brownian Convex Hull},
journal = {Ann. Probab.},
volume = {20},
number = {4},
year = {1992},
pages = { 627-630},
language = {en},
url = {http://dml.mathdoc.fr/item/1176989794}
}
Khoshnevisan, Davar. Moment Inequalities for Functionals of the Brownian Convex Hull. Ann. Probab., Tome 20 (1992) no. 4, pp. 627-630. http://gdmltest.u-ga.fr/item/1176989794/