We consider weak convergence of the rescaled error processes arising from Riemann discretizations of certain stochastic integrals and relate the Lp-integrability of the weak limit to the fractional smoothness in the Malliavin sense of the stochastic integral.
@article{1262962221,
author = {Geiss, Stefan and Toivola, Anni},
title = {Weak convergence of error processes in discretizations of stochastic integrals and Besov spaces},
journal = {Bernoulli},
volume = {15},
number = {1},
year = {2009},
pages = { 925-954},
language = {en},
url = {http://dml.mathdoc.fr/item/1262962221}
}
Geiss, Stefan; Toivola, Anni. Weak convergence of error processes in discretizations of stochastic integrals and Besov spaces. Bernoulli, Tome 15 (2009) no. 1, pp. 925-954. http://gdmltest.u-ga.fr/item/1262962221/