International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 5, Pages 657-669
Weighted norm inequalities for a class of rough singular integrals
Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, Jordan
Received 11 November 2004; Revised 6 February 2005
Copyright © 2005 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.
Weighted norm inequalities are proved for a rough homogeneous
singular integral operator and its corresponding maximal truncated singular operator. Our results are essential improvements as well as extensions of some known results on the
weighted boundedness of singular integrals.