International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 6, Pages 59830, 16 p.
doi:10.1155/IJMMS/2006/59830
On an extension of singular integrals along manifolds of finite type
Abdelnaser Al-Hasan1
and Dashan Fan2
1Department of Mathematics, An-Najah National University, P.O. Box 7, Nablus, West Bank, Palestinian Authority
2Department of Mathematics, AUniversity of Wisconsin-Milwaukee, Milwaukee 53201, WI, USA
Abstract
We extend the Lp-boundedness of a class of singular integral operators under the H1 kernel condition on a compact manifold from the homogeneous Sobolev space L˙αp(ℝn) to the Lebesgue space Lp(ℝn).