Transition density estimates for a class of Lévy and Lévy-type processes

Details Transition density estimates for a class of Lévy and Lévy-type processes Transition density estimates for a class of Lévy and Lévy-type processes

2009-12-08

arxiv.org/abs/0912.1482v2

Mathematics

Probability

27 pages

Scientific paper

We show on- and off-diagonal upper estimates for the transition densities of symmetric Levy and Levy-type processes. To get the an-diagonal estimates we prove a Nash type inequality for the related Dirichlet form. For the off-diagonal estimates we assume that the characteristic function of a Levy (type) process is analytic, which allows to apply the complex analysis technique.

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