COMMUTATORS OF SINGULAR INTEGRAL OPERATORS WITH NON-SMOOTH KERNELS  

作　　者：邓东皋 颜立新 

机构地区：[1]Department of Mathematics Zhongshan University, Guangzhou 510275, China

出　　处：《Acta Mathematica Scientia》2005年第1期137-144,共8页数学物理学报（B辑英文版）

基　　金：ProjectsupportedbyNSFofChina(1017111,10371134)theFoundationofAdvancedResearchCenter,ZhongshanUniversity

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.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.

关 键 词：COMMUTATOR BMO singular integrals semigroup kernel 

分 类 号：O175.3[理学—数学]