A Remark on Regularity of Excessive Functions for Certain Diffusions
Zoran R. Pop-Stojanović · Birkhäuser Boston eBooks · 1991
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. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.