In this chapter it is studied the subordination relation between sub-Markovian re-solvents. In Section 5.1 we investigate the weak and exact subordination operators (in the sense of G. Mokobodzki) with respect to a given sub-Markovian resolvent U and the associated resolvents subordinated to U (in the sense of E.B. Dynkin, P.A. Meyer and R.M. Blumenthal-R.K. Getoor). The corresponding probabilistic interpretations in terms of the multiplicative functionals are exposed in Section 5.3.
KeywordsProbabilistic Interpretation Kernel Versus Initial Kernel Multiplicative Functional Proper Kernel
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