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Weighted Norm Inequalities for a Class of Rough Maximal Operators
2006
Journal:  
Turkish Journal of Mathematics
Author:  
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.

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Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 2.274
Cite : 712
2023 Impact : 0.039
Turkish Journal of Mathematics