Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 56272, 17 pages
A unifying approach for certain class of maximal functions
Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, Jordan
Received 16 January 2006; Revised 12 April 2006; Accepted 13 April 2006
Copyright © 2006 Ahmad Al-Salman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.