- Turkish Journal of Mathematics
- Vol: 25 Issue: 4
- Lp Boundedness of a Class of Singular Integral Operators with Rough Kernels
Lp Boundedness of a Class of Singular Integral Operators with Rough Kernels
Authors : Hussain Al-qassem
Pages : 519-534
View : 10 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper, we study the Lp mapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x=F (|y|)y'} where F satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.Keywords : Singular integrals, oscillatory integrals, Fourier transform, Lp boundedness, rough kernels, block spaces.