  We propose a modified Balitsky-Fadin-Kuraev-Lipatov equation from the
viewpoint of the resummation technique, which contains an intrinsic dependence
on momentum transfer Q, and satisfies the unitarity bound. The idea is to relax
the strong rapidity ordering and to restrict phase space for real gluon
emissions in the evaluation of the BFKL kernel. It is shown that the power-law
rise of the gluon distribution function with the small Bjorken variable x turns
into a logarithmic rise, and that the predictions for the proton structure
function $F_2(x,Q^2)$ are consistent with the HERA data.
