Continuity of excessive harmonic functions for certain diffusions

Pop-Stojanović, Z. R.

doi:10.1090/S0002-9939-1988-0943091-6

Continuity of excessive harmonic functions for certain diffusions
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by Z. R. Pop-Stojanović PDF

Proc. Amer. Math. Soc. 103 (1988), 607-611 Request permission

Abstract:

This paper shows that under certain analytic conditions concerning its potential kernel, a strong Markov process, which is transient and with continuous sample paths, has all of its excessive harmonic functions, which are not identically infinite, continuous, Harnack inequality holds, and a family of its excessive functions is equi-continuous on compacts.

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