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A Characterization of H p Functions in the Unit Ball of C n.

Huang\ Fanglun (Department of Mathematics\ Anhui University\ Hefei\ 230039)  
In this paper, a characterization of H p functions in the unit ball of C n is given, that is: f∈H p(B)(0p+∞) if and only if ∫ B(1-|z|)|f(z)| p-2 |(Rf)(z)| 2dV(z)∞,where Rf is the radial derivative of f.
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