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)
Department of Mathematics, Yarmouk University, Irbid, Jordan
Received 15 November 2005; Revised 20 May 2006; Accepted 28 May 2006
Copyright © 2006 H. M. Al-Qassem. 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.
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).