On smoothing properties of transition semigroups associated to a class of SDEs with jumps
Seiichiro Kusuoka, Carlo Marinelli (2014)
Annales de l'I.H.P. Probabilités et statistiques
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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...