Journals / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 3
Maximal Oscillatory Singular Integrals with Kernels in L log L(Sn-1)
- Pages
- 259–274
- DOI
- —
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.
Özet
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.