Using the QCD dipole picture of the BFKL pomeron, the gluon contributi
on to the cross-section for single diffractive dissociation in deep-in
elastic high-energy scattering is calculated. The resulting contributi
on to the proton diffractive structure function integrated over t is g
iven in terms of relevant variables, xp, Q(2), and beta = x(Bj)/x(p).
It factorizes into an explicit x(p)-dependent Hard Pomeron flux factor
and structure function. The flux factor is found to have substantial
logarithmic corrections which may account for the recent measurements
of the Pomeron intercept in this process. The triple Pomeron coupling
is shown to be strongly enhanced by the resummation of leading logs. T
he obtained pattern of scaling violation at small beta is similar to t
hat for F-2 at small x(Bj).