Conditional Brownian Motion and the Boundary Limits of Harmonic Functions

摘要

In the present paper, We shall consider functions and stochastic processes on a Green space R, as defined by Brelot and Choquet (Ⅲ), except that the dimensionality 2 is not made exceptional (so that Riemann surfaces are excluded) and that points at ∞ are excluded. That is, in the language of [VI], R is a Green space which is connected and has a positive boundary.