论文标题
Lévy-type的时间定期在希尔伯特空间和一些$α$稳定的过程中
Time regularity of Lévy-type evolution in Hilbert spaces and of some $α$-stable processes
论文作者
论文摘要
在本文中，我们考虑了希尔伯特太空$ h $中线性方程的解决方案的弱càdlàg版本，这是由利维过程驱动的。特别是我们对对角线类型的过程感兴趣，其中坐标的过程是独立$α$稳定对称过程的功能。我们给出IF且仅在这种情况下进行表征。我们采用相同的技术来获得足够的条件，以使其存在稳定过程的Càdlàg版本，描述为与对称$α$稳定的随机度量相对于$α\ in [1,2）$而言。
In this paper we consider the existence of weakly càdlàg versions of a solution to a linear equation in a Hilbert space $H$, driven by a Levy process taking values in a Hilbert space $U$. In particular we are interested in diagonal type processes, where process on coordinates are functionals of independent $α$ stable symmetric process. We give the if and only if characterization in this case. We apply the same techniques to obtain a sufficient condition for existence of a càdlàg versions of stable processes described as integrals of deterministic functions with respect to symmetric $α$-stable random measures with $α\in[1,2)$.
