Turkish Journal of Mathematics
Abstract
In this paper, we study the L^p mapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x=\Phi ( y )y^'} where \Phi satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.
DOI
-
Keywords
Singular integrals, oscillatory integrals, Fourier transform, L^p boundedness, rough kernels, block spaces.
First Page
519
Last Page
534
Recommended Citation
AL-SALMAN, A, & AL-QUASSEM, H (2001). L^p Boundedness of a Class of Singular Integral Operators with Rough Kernels. Turkish Journal of Mathematics 25 (4): 519-534. https://doi.org/-
