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)...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).展开更多
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
文摘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).
