Abstract
In an earlier paper [4], the first 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. In a subsequent paper [5], the same author has shown that under these conditions the excessiveness of its nonnegative harmonic functions is automatic. In this paper we are showing that a regularity condition for the excessive functions introduced here, will imply that the Riesz measure does not charge the semi-polar sets of the process.
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References
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© 1991 Springer Science+Business Media New York
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Pop-Stojanovic, Z.R. (1991). A Remark on Regularity of Excessive Functions for Certain Diffusions. In: Çinlar, E., Fitzsimmons, P.J., Williams, R.J. (eds) Seminar on Stochastic Processes, 1990. Progress in Probability, vol 24. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-0562-0_14
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DOI: https://doi.org/10.1007/978-1-4684-0562-0_14
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3488-9
Online ISBN: 978-1-4684-0562-0
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