Turkish Journal of Mathematics
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.
Keywords
Oscillatory singular integrals, Rough kernels, Maximal functions
First Page
259
Last Page
274
Recommended Citation
AL-SALMAN, AHMAD (2005) "Maximal Oscillatory Singular Integrals with Kernels in L log L(S^{n-1})," Turkish Journal of Mathematics: Vol. 29: No. 3, Article 5. Available at: https://journals.tubitak.gov.tr/math/vol29/iss3/5
