Dergiler / Turkish Journal of Mathematics / 2003 / Cilt: 27 - Sayı: 4
Rough Oscillatory Singular Integral Operators-II
- Sayfa
- 565–579
- DOI
- —
Özet
In this paper, we study certain classes of oscillatory singular integral operators with kernels in Llog L(Sn-1) which is known to be the most desirable size condition for the Lp boundedness to hold. We prove that such operators are bounded on Lp. Our results extend and improve previously known results. Variations of our approach in this paper can be applied to handle more general oscillatory singular integral operators. This concludes by indicating a variety of results that can be obtained.
Abstract
In this paper, we study certain classes of oscillatory singular integral operators with kernels in Llog L(Sn-1) which is known to be the most desirable size condition for the Lp boundedness to hold. We prove that such operators are bounded on Lp. Our results extend and improve previously known results. Variations of our approach in this paper can be applied to handle more general oscillatory singular integral operators. This concludes by indicating a variety of results that can be obtained.