Abstract:

Yamamuro in [1] defines strong and weak transience of Markov processes;
gives a criterion for strong transience of Feller processes; and further, discusses strong and weak transience of Ornstein-Uhlenbeck type processes. In this article, the authors weaken the Feller property of the result in [1] to weak Feller property and discuss the strong transience of operator-self-similar Markov processes.

Key words: Operator-self-similar processes, strong transience, isotropic, (weak) Feller processes