On the Hardy-Littlewood maximal theorem

The Hardy-Littlewood maximal theorem is extended to functions of class PL in the sense of E. F. Beckenbach and T. Radó, with a more precise expression of the absolute constant in the inequality. As applications we deduce some results on hyperbolic Hardy classes in terms of the non-Euclidean hyperbol...

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Bibliographic Details
Main Author: Shinji Yamashita
Format: Article
Language:English
Published: Hindawi Limited 1982-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171282000659