engleski

Martin boundary for some symmetric Levy processes

In this paper we study the Martin boundary of open sets with respect to a large class of purely discontinuous symmetric L\'evy processes in $\R^d$. We show that, if $D\subset \R^d$ is an open set which is $\kappa$-fat at a boundary point $Q\in \partial D$, then there is exactly one Martin boundary point associated with $Q$ and this Martin boundary point is minimal.

Levy process, subordinate Brownian motion, Martin boundary, Martin kernel, boundary Harnack principle, Green function

nije evidentirano