The status of the resummation of small x contributions to the unpolarized and
polarized deep inelastic structure functions is reviewed.Comment: 15 pages LATEX including 6 eps-files; Lecture notes to appear in:
'New Trends in HERA Physics 1999', eds. G. Grindhammer, B. Kniehl, and G.
Kramer (Springer, Berlin, 1999