On absolute continuity and singularity of probability measures
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H. Engelbert, A. Shiryaev (1980)
Banach Center Publications
Petr Mandl (1977)
Commentationes Mathematicae Universitatis Carolinae
Seiichiro Kusuoka, Carlo Marinelli (2014)
Annales de l'I.H.P. Probabilités et statistiques
We prove smoothing properties of nonlocal transition semigroups associated to a class of stochastic differential equations (SDE) in driven by additive pure-jump Lévy noise. In particular, we assume that the Lévy process driving the SDE is the sum of a subordinated Wiener process (i.e. , where is an increasing pure-jump Lévy process starting at zero and independent of the Wiener process ) and of an arbitrary Lévy process independent of , that the drift coefficient is continuous (but not...
Ludger Overbeck (1995)
Séminaire de probabilités de Strasbourg
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