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Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 96732, 16 pages
doi:10.1155/JIA/2006/96732

On the boundedness of maximal operators and singular operators with kernels in L(logL)α(Sn−1)

H. M. Al-Qassem

Department of Mathematics, Yarmouk University, Irbid, Jordan

Received 15 November 2005; Revised 20 May 2006; Accepted 28 May 2006

Abstract

We establish the Lp-boundedness for a class of singular integral operators and a class of related maximal operators when their singular kernels are given by functions Ω in L(logL)α(Sn−1).