M. Rao in this space. As recalled above, a semimartingale F(x, t) is repre

Hölder spaces may be replaced by the Besov-Orlicz spaces, especially the B° subspaces defined above which are separable. The theory of stochastic flows is well treated by Kunita (1990) in the context of Hölder spaces and varia tions of them. From a different approach, again extending Kunita's work, Carmona and Nualart (1990) presented a detailed exposition for "strong in tegrators" and use some refined aspects of stochastic integration on related function spaces. A general theory of the subject as given by Kunita (1990), and how a large amount of the latter work can be extended to the L2,2classes is indicated in (Rao (1997), Sec. 4.8). The main point of the above sketch is to show how function spaces play a basic role in this theory from its formulation and the consequent analysis.