Weighted Norm Inequalities for a Class of Rough Maximal Operators

Authors : H. M. AL-QASSEM

Pages : 413-438

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We consider maximal singular integral operators arising from rough kernels satisfying an H1-type condition on the unit insert ignore into journalissuearticles values(n-1);-sphere and prove weighted Lp estimates for certain radial weights. We also prove weighted Lp estimates with Ap-weights where in this case the H1 -type condition is replaced by an Lq-type condition with q > 1. Some applications of these results are also obtained regarding singular integrals and Marcinkiewicz integrals. Our results are essential extensions and improvements of some known results.
Keywords : Lp boundedness, Hardy space, maximal operators, Fourier transform, rough kernel, Ap weight