- Turkish Journal of Mathematics
- Vol: 30 Issue: 4
- Weighted Norm Inequalities for a Class of Rough Maximal Operators
Weighted Norm Inequalities for a Class of Rough Maximal Operators
Authors : H. M. Al-qassem
Pages : 413-438
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :We consider maximal singular integral operators arising from rough kernels satisfying an H1-type condition on the unit (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