Year: 2015
Type: preprint
Abstract: In this article we introduce the Gaussian Sobolev space $W^{1,2}(\mathscr O,γ)$, where $\mathscr O$ is an arbitrary open set of a separable Banach space $E$ endowed with a nondegenerate centered Gaussian measure $γ$. Moreover, we investigate the semimartingale structure of the infinite dimensional reflecting Ornstein-Uhlenbeck process for open sets of the form $\mathscr O=\{x\in E\, :\, G(x)<0\}$, where $ G$ is some Borel function on $E$.
Source: arXiv (Cornell University)
Author: Akhlil, Khalid
Language: English
Subfield: Finance
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W1670749807