Boundedness of higher order commutators of oscillatory singular integrals with rough kernels
Wu, H. X.
- 数学科学－已发表论文 
The author studies the commutators generated by a suitable function a(x) on R-n and the oscillatory singular integral with rough kernel Omega(x)\x\(n) and polynomial phase, where Omega is homogeneous of degree zero on R-n, and a(x) is a BMO function or a Lipschitz function. Some mapping properties of these higher order commutators on L-p(R-n), which are essential improvements of some well known results, are given.