  Starting from the multi-Regge effective action for high-energy scattering in
QCD a $t$-channel approach can be developed which is similar to the approach by
White based on general Regge arguments. The BFKL kernel of reggeized gluon
interaction, contributions to the $2 \rightarrow 4 $ reggeized gluon vertex
function and the one-loop correction to the BFKL kernel are considered. The
conditions are discussed under which this approach can provide a simple
estimante of the next-to-leading logarithmic corrections to the BFKL
perturbative pomeron intercept.
