Abstract:Let X be a Borel right Markov process, let m be an excessive measure for X, and let X be the moderate Markov dual process associated with X and m. The potential theory of co-excessive measures (i.e., measures that are excessive for X) is developed with special emphasis on the Riesz decomposition. This is then applied to obtain the Riesz decomposition of excessive functions (of X) by exploiting the correspondence between such functions and co-excessive measures. The potential theory of co-excessive measures als… Show more
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