Two-sided Estimates on the Density of the Feynman-Kac Semigroups of Stable-like Processes

Abstract

In this paper we establish two-sided estimates for the density of the Feynman-Kac semigroups of stable-like processes with potentials given by signed measures belonging to the Kato class. We also provide similar estimates for the densities of two other kinds of Feynman-Kac semigroups of stable-like processes.