Some applications of quasi-boundedness for excessive measures

Patrick J. Fitzsimmons; Ronald K. Getoor

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A new setting for potential theory. I

Kai Lai Chung, K. Murali Rao (1980)

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We consider a transient Hunt process in which the potential density $u$ satisfies the conditions: (a) for each $x$ , $u (x, y)^{- 1}$ is finite continuous in $y$ ; (b) $u (x, y) = + \infty$ iff $x = y$ . In earlier papers Chung established an equilibrium principle, and Rao obtained a Riesz of decomposition for excessive functions. We now begin a deeper study under these conditions, including the uniqueness of the decomposition and Hunt’s hypothesis (B).

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