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.
Alan : Fen Bilimleri ve Matematik
Dergi Türü : Uluslararası
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