Resumen de An improved Hardy’s inequality associated with the Laguerre Fourier transform

Miloud Assal, Rahmouni Atef

• For the Hardy space Hp(K), 0?p?1 and K being the Laguerre hypergroup, we shall establish a Hardy’s type inequality associated with Laguerre Fourier transform for the strip Q2(2−p)?σ?Q2+p2(N+1), where N=[Q(1p−1)] is the greatest integer not exceeding Q(1p−1) and Q is the homogenous dimension of K.