Besov regularity for the indefinite Skorohod integral with respect to the fractional Brownian motion: the singular case

Author: Lakhel Hassan  

Publisher: Taylor & Francis Ltd

ISSN: 1045-1129

Source: Stochastics and Stochastics Reports, Vol.74, Iss.3-4, 2002-01, pp. : 597-615

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Abstract

Using the techniques of the Malliavin calculus and the properties of Gaussian processes, we prove that the paths of the indefinite Skorohod integral with respect to the fractional Brownian motion (fBm) with Hurst parameter less than 1/2 belongs to the Besov space Bp,∞H, for any p>(1/H).