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In this paper, we study Feynman-Kac semigroups of symmetric -stable processes with supercritical killing potentials belonging to a large class of functions containing functions of the form b|x|^-, where b>0 and >. We obtain two-sided estimates on the densities p (t, x, y) of these semigroups for all t>0, along with estimates for the corresponding Green functions.
Cho et al. (Tue,) studied this question.