Ito formula for \(C^ 1\)-functions of semimartingales. (English) Zbl 0838.60045

We establish an Itô formula for \(C^1\) functions of processes whose time reversals are semimartingales and for \(C^1\) functions whose first derivatives are Hölder continuous of any parameter and the process comes out from a stochastic flow of homeomorphism.
Reviewer: F.Russo


60H05 Stochastic integrals
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
60J65 Brownian motion
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