A new proof of a sharp $L^p$-inequality for stochastic integrals is given that makes it possible to show that strict inequality holds in all nontrivial cases.
@article{1176992268,
author = {Burkholder, D. L.},
title = {A Sharp and Strict $L^p$-Inequality for Stochastic Integrals},
journal = {Ann. Probab.},
volume = {15},
number = {4},
year = {1987},
pages = { 268-273},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992268}
}
Burkholder, D. L. A Sharp and Strict $L^p$-Inequality for Stochastic Integrals. Ann. Probab., Tome 15 (1987) no. 4, pp. 268-273. http://gdmltest.u-ga.fr/item/1176992268/