距离空间上最终有界过程的不变概率测度

Unchange probability Measure of Final Bouhded process on Distance Space

本文把Y.Migahara在[1]中p次最终有界过程的概念推广到一般的距离空间上,并在较弱的条件下证明了σ-紧距离空间上p次最终有界Feller过程存在不变概率测度。

The concept of p times final bounded process discussed by Y.Mlgahara in [1] is extended to general distance space and for p times final bounded Feller processon σ-compact distance space, the existence of unchange probability measure is proved under a weaker condition.