- Turkish Journal of Mathematics
- Vol: 29 Issue: 3
- Maximal Oscillatory Singular Integrals with Kernels in L log L(Sn-1)
Maximal Oscillatory Singular Integrals with Kernels in L log L(Sn-1)
Authors : Ahmad Al-salman
Pages : 259-274
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper, we study the Lp mapping properties of a certain class of maximal oscillatory singular integral operators. We establish the Lp boundedness of our operators provided that their kernels belong to the natural space L log +L(Sn-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