Accessibility, Martin boundary and minimal thinness for Feller processes in metric measure spaces (CROSBI ID 235512)
Prilog u časopisu | izvorni znanstveni rad
Podaci o odgovornosti
Kim, Panki ; Song, Renming ; Vondraček, Zoran
engleski
Accessibility, Martin boundary and minimal thinness for Feller processes in metric measure spaces
In this paper we study the Martin boundary at infinity for a large class of purely discontinuous Feller processes in metric measure spaces. We show that if $\infty$ is accessible from an open set $D$, then there is only one Martin boundary point of $D$ associated with it, and this point is minimal. We also prove the analogous result for finite boundary points. As a consequence, we show that minimal thinness of a set is a local property.
Martin boundary, Martin kernel, purely discontinuous Feller process, minimal thinness
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano