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Boundedness of a class of rough maximal functions
Mohammed Ali1, Omar Al-Mohammed1
1Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan.
Abstract:
In this work, we obtain appropriate sharp bounds for a certain class of maximal operators along surfaces of revolution with kernels in , . By using these bounds and using an extrapolation argument, we establish the boundedness of the maximal operators when their kernels are in or in the block space . Our main results represent significant improvements as well as natural extensions of what was known previously.
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