Abstract
For the Hardy space H-q,s(p)(R-d,mu(k)), 0 < p <= 1, we shall improve a Hardy's type inequality associated with the Dunkl transform respect to the measures mu(kappa). homogeneous of degree gamma, on the strip (2 gamma + d)(2 - p) <= sigma < 2 gamma + d+ p(N+ 1), where N = [(2 gamma + d)(1/p - 1)] is the greatest integer not exceeding (2 gamma + d)(1/p - 1).