Abstract
In an earlier paper(4) the author has shown that a diffusion process whose potential kernel satisfies certain analytic conditions has all of its excessive harmonic functions, which are not identically infinite, continuous. This paper shows that under these conditions (concerning its potential kernel), the excessiveness of its nonnegative harmonic functions isautomatic.
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Pop-Stojanović, Z.R. Excessiveness of harmonic functions for certain diffusions. J Theor Probab 2, 503–508 (1989). https://doi.org/10.1007/BF01051881
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DOI: https://doi.org/10.1007/BF01051881