Mathematics – Probability
Scientific paper
2005-05-10
Seminaire de Probabilites, Vol.40 (2007), 117-136.
Mathematics
Probability
Scientific paper
Generalised Ito formulae are proved for time dependent functions of continuous real valued semi-martingales.The conditions involve left space and time first derivatives, with the left space derivative required to have locally bounded 2-dimensional variation. In particular a class of functions with discontinuous first derivative is included. An estimate of Krylov allows further weakening of these conditions when the semi-martingale is a diffusion.
Elworthy K. D.
Truman Aubrey
Zhao Hai-Zhuan
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