Large deviation principle for fractional Brownian motion with respect to capacity

We show that the fractional Brownian motion (fBM) defined via the Volterra integral representation with Hurst parameter H≥12 is a quasi-surely defined Wiener functional on the classical Wiener space, and we establish the large deviation principle (LDP) for such an fBM with respect to (p,r)-capacity on the classical Wiener space in Malliavin’s sense.