Turkish Journal of Mathematics
Abstract
In this paper, we study certain classes of oscillatory singular integral operators with kernels in Llog L(S^{n-1}) which is known to be the most desirable size condition for the L^{p} boundedness to hold. We prove that such operators are bounded on L^{p}. 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.
DOI
-
Keywords
Oscillatory singular integral operators, Rough kernels, L^{p} estimates, Hardy Littlewood maximal function
First Page
565
Last Page
579
Recommended Citation
AL-SALMAN, A, & AL-JARRAH, A. A (2003). Rough Oscillatory Singular Integral Operators-II. Turkish Journal of Mathematics 27 (4): 565-579. https://doi.org/-
