Tytuł pozycji:
A family of symmetric stable-like processes and its global path properties
We extend the idea of the symmetric stable-like processes so that it includes the Brownian motion as well as the symmetric α-stable processes. We exhibit some sufficient conditions for their recurrence and conservativeness relying on the no-tion of Dirichlet forms. A criterion for conservativeness (Lemma 3.2) is also shown in terms of general Dirichlet forms and the associated generators.
Dedicated to Professor Yoichi Oshima on the occasion of His sixtieth birthday.