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Nonisotropic strongly singular integral operators
Authors:Bassam Shayya
Affiliation:Department of Mathematics, American University of Beirut, Beirut, Lebanon
Abstract:We consider a class of strongly singular integral operators which include those studied by Wainger, and Fefferman and Stein, and extend the results concerning the $L^p$ boundedness of these operators to the nonisotropic setting. We also describe a geometric property of the underlying space which helps us show that our results are sharp.

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