Turkish Journal of Mathematics
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.
DOI
-
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
