on re generalized weighted bergman spaces

b_w^p,_w(u) = {f ϵ h(u) | ||f||p_bwp,w =ò_uw^p(|f(z)|)w(z)dm(z) < +∞},

on the unit disk u, and we study the composition operator c_ζ on the b_wp,_w. a counterexample

for lemma 1 in [3]. on generalized weighted bergman spaces, complex variables, 49 (2), 109-124] is provided and a corrected version of the lemma and corrections on some other results are presented.