Polarized deep inelastic scattering at low Bjorken x and resummation of logarithmic corrections, $ln^2(1/x)$

For an accurate description of the polarized deep inelastic scattering at low $x$ including the logarithmic corrections, $ln^2(1/x)$, is required. These corrections resummed strongly influence the behaviour of the spin structure functions and their moments. Results of the work of J. Kwiecinski and myself on this problem are reviewed.}