Turkish Journal of Mathematics
Abstract
We consider maximal singular integral operators arising from rough kernels satisfying an H^1-type condition on the unit (n-1)-sphere and prove weighted L^p estimates for certain radial weights. We also prove weighted L^p estimates with A_p-weights where in this case the H^1 -type condition is replaced by an L^q-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.
DOI
-
Keywords
L^p boundedness, Hardy space, maximal operators, Fourier transform, rough kernel, A_p weight
First Page
413
Last Page
438
Recommended Citation
AL-QASSEM, H (2006). Weighted Norm Inequalities for a Class of Rough Maximal Operators. Turkish Journal of Mathematics 30 (4): 413-438. https://doi.org/-
