Malliavin Claculus and Anticipative Itô Formulae for Lévy Processes

Di Nunno, Giulia; Meyer-Brandis, Thilo ; Øksendal, Bernt und Proske, Frank (2005): Malliavin Claculus and Anticipative Itô Formulae for Lévy Processes. In: Infinite Dimensional Analysis, Quantum Probability and Related Topics, Bd. 08, Nr. 02: S. 235-258

Abstract

We introduce the forward integral with respect to a pure jump Lévy process and prove an Itô formula for this integral. Then we use Mallivin calculus to establish a relationship between the forward integral and the Skorohod integral and apply this to obtain an Itô formula for the Skorohod integral.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Finanz- und Versicherungsmathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0219-0257
• Sprache: Englisch