I: 09, 177-189, LNM 39 (1967)
WEIL, Michel
Résolvantes en dualité (
Markov processes,
Potential theory)
Given two sub-Markov resolvents in duality, whose kernels are absolutely continuous with respect to a given measure, it is shown how to choose their densities to get true Green kernels, excessive in one variable and coexcessive in the other one. It is shown also that coexcessive functions are exactly the densities of excessive measures
Comment: These results, now classical, are due to Kunita-T. Watanabe,
Ill. J. Math.,
9, 1965 and
J. Math. Mech.,
15, 1966
Keywords: Green potentials,
Dual semigroupsNature: Exposition Retrieve article from Numdam