Hausdorff dimension of the graph of the Fractional Brownian Sheet

Let {B-(alpha)(t)}(tis an element ofR)(d), be the Fractional Brownian Sheet with multi-index alpha = (alpha(1),..., a(d)), 0 < a(i) < 1. In [14], Kamont has shown that, with probability 1, the box dimension of the graph of a trajectory of this Gaussian field, over a non-degenerate cube Q subset of R-d is equal to d + 1 - min (alpha(1),..., alpha(d)) - In this paper, we prove that this result remains true when the box dimension is replaced by the Hausdorff dimension or the packing dimension.