We obtain the following two inequalities on a strongly pseudoconvex domain $Omega;in;mathbb{C}^n;:;for;f;{in};O(Omega)$ $$int_{0}^{{delta}0}t^{a{mid}a{mid}+b}M_p^a(t, D^{a}f)dtlesssimint_{0}^{{delta}0}t^{b}M_p^a(t,;f)dt;int_{O}^{{delta}O}t_{b}M_p^a(t,;f)dtlesssimsum_{j=0}^{m}int_{O}^{{delta}O}t^{am+b}M_{p}^{a}(t,;aleph^{i}f)dt$$. In [9], Shi proved these results for the unit ball in $mathbb{C}^n$. These are generalizations of some classical results of Hardy and Littlewood.