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 consi
der the variation of the gluon distribution function with the momentum
fraction, when evaluating the BFKL kernel. It is shown that the power
-law rise of the gluon distribution function with the small Bjorken va
riable x turns into a logarithmic rise at x --> 0. (C) 1998 Published
by Elsevier Science B.V. All rights reserved.