  In this paper we investigate the effect of introducing transverse momentum
cutoffs on the BFKL equation. We present solutions in moment space for various
models of the BFKL kernel for different combinations of these cutoffs. We
improve on previous calculations by using the full BFKL kernel (rather than
simplified analytic approximations). The significance of the next-to-leading or
``higher twist'' terms in the kernel are assessed. We find that, while these
terms are negligible in the absence of cutoffs, introducing an infra-red cutoff
markedly enhances their significance.
