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We obtain the following two inequalities on a strongly pseudoconvex domain ­ in Cn : for f 2 O(­) Z ±0 0 tajj+bMa p (t;Df) dt . Z ±0 0 tbMa p (t; f) dt Z ±0 0 tbMa p (t; f) dt . m Xj=0 Z ±0 0 tam+bMa p ³t;Njf´dt: In [9], Shi proved these results for the unit ball in Cn. These are generalizations of some classical results of Hardy and Littlewood.


We obtain the following two inequalities on a strongly pseudoconvex domain ­ in Cn : for f 2 O(­) Z ±0 0 tajj+bMa p (t;Df) dt . Z ±0 0 tbMa p (t; f) dt Z ±0 0 tbMa p (t; f) dt . m Xj=0 Z ±0 0 tam+bMa p ³t;Njf´dt: In [9], Shi proved these results for the unit ball in Cn. These are generalizations of some classical results of Hardy and Littlewood.