EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 59(73), pp. 31--38 (1996)

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A proof of the Hardy--Littlewood theorem on fractional integration and a generalization

Miroslav Pavlovi\'c

Matematicki fakultet, Beograd, Yugoslavia

Abstract: We give an elementary proof of the Hardy-Littlewood 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:

Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition