Open Access

A unifying approach for certain class of maximal functions

Journal of Inequalities and Applications20062006:56272

DOI: 10.1155/JIA/2006/56272

Received: 16 January 2006

Accepted: 13 April 2006

Published: 13 August 2006


We establish estimates for certain class of maximal functions with kernels in . As a consequence of such estimates, we obtain the boundedness of our maximal functions when their kernels are in or in the block space , . Several applications of our results are also presented.


Authors’ Affiliations

Department of Mathematics, Faculty of Science, Yarmouk University


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© Ahmad Al-Salman 2006

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