Small-x behaviour of the polarized photon structure function F-3(gamma)(x,Q(2))

We study the small-x behaviour of the polarized photon structure function F -3(gamma), measuring the gluon transversity distribution, in the leading lo garithmic approximation of perturbative QCD. There are two contributions, b oth arising from two-gluon exchange. The leading contribution to small-x is related to the BFKL pomeron and behaves like x(-1-omega 2), omega(2) = O(a lpha(s)). The other contribution includes in particular the ones summed by the DGLAP equation and behaves like x(1-omega 0(+)), omega(0)((+)) = O(root alpha(s)).