  We propose a modified Balitskii-Fadin-Kuraev-Lipatov equation from the
viewpoint of the resummation technique, which 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 found that
the gluon distribution function rises as a power of the Bjorken variable $x$,
and then saturates at $x\to 0$. We estimate that the saturation begins to occur
for $x< 10^{-4}$.
