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Let (CI, £F„ P) be a probability space with an increasing right continuous family of (£?„, P)-complet e cr-algebras (2 /), and let $ be the predictabl e oalgebra induced on ClxR+ by the family (3",). For / / e £ P, we write Hs for the random variable co—*lII(s, co). If Z— N-\-B is a semi-martingal e such that N is a square integrabl e martingal e and B an adapted proces with square integrabl e variation, the mapping

About stochastic integrals with respect to processes which are not semimartingales