  In this paper we derive an integral equation for the evolution of
unintegrated (longitudinally) polarized quark and gluon parton distributions.
The conventional CCFM framework is extended at small x in order to incorporate
the QCD expectations concerning the double ln^2(1/x) resummation at low x for
the integrated distributions. Complete Altarelli-Parisi splitting functions are
included, that makes the formalism compatible with the LO Altarelli-Parisi
evolution at large and moderately small values of x. The obtained modified
polarized CCFM equation is shown to be partially diagonalized by the
Fourier-Bessel transform. Results of the numerical solution for this modified
CCFM equation for the non-singlet quark distributions are presented.

High Energy Physics - Phenomenology