Fractional Smoothness of Some Stochastic Integrals

Citation
Xie, Peng et Zhang, Xi Cheng, Fractional Smoothness of Some Stochastic Integrals, Acta mathematica Sinica. English series (Print) , 23(6), 2007, pp. 1053-1058
ISSN journal
14398516
Volume
23
Issue
6
Year of publication
2007
Pages
1053 - 1058
Database
ACNP
SICI code
Abstract
We study the fractional smoothness in the sense of Malliavin calculus of stochastic integrals of the form .10.(Xs)dXs, where X s is a semimartingale and . belongs to some fractional Sobolev space over ..