PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 59(73), pp. 3138 (1996) 

A proof of the HardyLittlewood theorem on fractional integration and a generalizationMiroslav Pavlovi\'cMatematicki fakultet, Beograd, YugoslaviaAbstract: We give an elementary proof of the HardyLittlewood theorem and extend it to a class of smooth functions on the unit ball. As a special case we prove the validity of this theorem in the class of polyharmonic function. Keywords: Fractional integral, Integral means, Polyharmonic functions Classification (MSC2000): 30D55; 31B30 Full text of the article:
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