Turkish Journal of Mathematics
DOI
-
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.
Keywords
Singular integrals, oscillatory integrals, Fourier transform, L^p boundedness, rough kernels, block spaces.
First Page
519
Last Page
534
Recommended Citation
AL-SALMAN, AHMAD and AL-QUASSEM, HUSSAIN (2001) "L^p Boundedness of a Class of Singular Integral Operators with Rough Kernels," Turkish Journal of Mathematics: Vol. 25: No. 4, Article 6. Available at: https://journals.tubitak.gov.tr/math/vol25/iss4/6
