Tohoku Mathematical Journal
2016
December
SECOND SERIES VOL. 68, NO. 4

Tohoku Math. J.
68 (2016), 569-589

Title CONVERGENCE OF MEASURES PENALIZED BY GENERALIZED FEYNMAN-KAC TRANSFORMS

Author Daehong Kim and Masakuni Matsuura

(Received September 22, 2014, revised February 25, 2015)
Abstract. We prove the existence of limiting laws for symmetric stable-like processes penalized by generalized Feynman-Kac functionals and characterize them by the gauge functions and the ground states of Schrödinger type operators.

Mathematics Subject Classification. Primary 60J45; Secondary 60F17, 60J57, 35J10, 60J55, 60J35.
Key words and phrases. Generalized Feynman-Kac transform, penalized measures, symmetric stable-like processes, subcriticality, criticality, supercriticality, Dirichlet forms, Green-tight measures of Kato class, special additive functionals, gauge functions, ground states, limit-quotient theorems.

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