摘要
The commutators of singular integral operators with homogeneous kernel(Ω(x))/(|x|~n)are studied, where Ω is homogeneous of degree zero,and has mean value zero on the unit sphere.It is proved that Ω ∈ L(logL)^(k+1)(S^(n-1))is a sufficient condition such that the κ-th order commutator is bounded on L^2(R^n).
The commutators of singular integral operators with homogeneous kernel(Ω(x))/(|x|~n)are studied, where Ω is homogeneous of degree zero,and has mean value zero on the unit sphere.It is proved that Ω ∈ L(logL)^(k+1)(S^(n-1))is a sufficient condition such that the κ-th order commutator is bounded on L^2(R^n).
基金
supported by the NSF of China(19701039)
partially supported by the NFS of China(19971010)
Visiting Scholar Foundation of Key Lab.in Peking University
