Sadovnichiy, Victor A.Zgurovsky, Mikhail Z.2016-10-272016-10-272015978331919074797833191907542198-4182http://hdl.handle.net/11441/48207In this paper we investigate the existence and some useful properties of the Lévy areas of Ornstein-Uhlenbeck processes associated to Hilbert-space-valued fractional Brownian-motions with Hurst parameter H ∈ (1/3, 1/2]. We prove that this stochastic area has a Hölder-continuous version with sufficiently large Hölder-exponent and that can be approximated by smooth areas. In addition, we prove the stationarity of this area.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Stochastic PDEsHilbert-valued fractional Brownian motionPathwise solutioninfo:eu-repo/semantics/bookPartinfo:eu-repo/semantics/openAccess10.1007/978-3-319-19075-4_10https://idus.us.es/xmlui/handle/11441/48207