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Regular version of the site

Article

On parabolic inequalities for generators of diffusions with jumps

Probability Theory and Related Fields. 2014. Vol. 158. P. 465-476.

We prove absolute continuity of space-time probabilities satisfying certain parabolic inequalities for generators of diffusions with jumps. As an application, we prove absolute continuity of transition probabilities of singular diffusions with jumps under minimal conditions that ensure absolute continuity of the corresponding diffusions without jumps.