稳定过程的迹估计
Trace Estimates for Stable Processes
摘要：
本文研究了$\Rd$中对称稳定过程所对应的热半群的迹（分拆函数）的时间行为。特别是，我们表明，域与所谓的{ \it{$R$-smoothness} }属性的第二项中的渐近作为$t\to 0$涉及域的表面积，就像在布朗运动的情况下。
英文摘要：
In this paper we study the behaviour in time of the trace (the partition function) of the heat semigroup associated with symmetric stable processes in domains of $\Rd$. In particular, we show that for domains with the so called {\it{$R$-smoothness}} property the second terms in the asymptotic as $t\to 0$ involves the surface area of the domain, just as in the case of Brownian motion.
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