Excessiveness of harmonic functions for certain diffusions |
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Authors: | Z R Pop-Stojanović |
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Institution: | (1) Department of Mathematics, University of Florida, 32611 Gainesville, Florida |
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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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Keywords: | Strong Markov process transience excessive harmonic functions the Green's function of the killed process |
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