A consistent phenomenological approach to the computation of transverse sin
gle spin asymmetries in inclusive hadron production is presented, based on
the assumed generalization of the QCD factorization theorem to the case in
which quark intrinsic motion is taken into account. New Icl and spin depend
ent quark distribution and fragmentation functions are considered: some of
them are fixed by fitting data on p(up arrow)p --> pi X and predictions are
given for single spin asymmetries in lp(up arrow) --> pi X and gamma*p(up
arrow) --> pi X processes.