  We consider a solution to a generic Markovian jump diffusion and show that
for positive times the law of the solution process has a smooth density with
respect to Lebesgue measure under a uniform version of Hoermander's conditions.
Unlike previous results in the area the result covers a class of infinite
activity jump processes. The result is accompolished by using carefully crafted
refinements to the classical arguments used in proving smoothness of density
via Malliavin calculus. In particular, a key ingredient is provided by our
proof that the semimartinagle inequality of Norris persists for discontinuous
semimartingales when the jumps of the semimartinagale are small.
