  We show that small ball estimates together with Holder continuity assumption
allow to obtain new representation results in models with long memory. In order
to apply these results, we establish small ball probability estimates for
Gaussian processes whose incremental variance admits two-sided estimates and
the incremental covariance preserves sign. As a result, we obtain small ball
estimates for integral transforms of Wiener processes and of fractional
Brownian motion with Volterra kernels.
