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Turkish Journal of Mathematics

Authors

AHMAD AL-SALMAN

DOI

-

Abstract

In this paper, we study the L^p mapping properties of a certain class of maximal oscillatory singular integral operators. We establish the L^p boundedness of our operators provided that their kernels belong to the natural space L log ^+L(S^{n-1}). Our result substantially improves a previously known result. Moreover, the approach developed in this paper can be applied to handle more general maximal oscillatory singular integral operators.

First Page

259

Last Page

274

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