Xu, Jie et al., Quasi sure large deviation for increments of fractional Brownian motion in Hölder norm, Acta mathematica Sinica. English series (Print) , 31(6), 2015, pp. 913-920
In this paper, we first prove Schilder.s theorem in Hölder norm (0 . . < 1) with respect to C r,p -capacity. Then, based on this result, we further prove a sharpening of large deviation principle for increments of fractional Brownian motion for C r,p -capacity in the stronger topology.