COMMUTATORS OF SINGULAR INTEGRAL OPERATORS WITH NON-SMOOTH KERNELS

摘要

Let T be a singular integral operator bounded on Lp(Rn) for some p, 1 ＜ p ＜∞. The authors give a sufficient condition on the kernel of T so that when b ∈BMO, the commutator [b, T](f) = T(bf) - bT(f) is bounded on the space Lp for all p, 1 ＜ p ＜∞.The condition of this paper is weaker than the usual pointwise Hormander condition.