HANKEL BILINEAR FORMS ON GENERALIZED FOCK-SOBOLEV SPACES ON Cn

We characterize the boundedness of Hankel bilinear forms on a product of generalized Fock-Sobolev spaces on C-n with respect to the weight (1 + vertical bar z vertical bar)(rho) is an element of- alpha/2 vertical bar z vertical bar(2l), for l >= 1, alpha > 0 and rho is an element of R. We obtain a weak decomposition of the Bergman kernel with estimates and a Littlewood-Paley formula, which are key ingredients in the proof of our main results. As an application, we characterize the boundedness, compactness and the membership in the Schatten class of small Hankel operators on these spaces.