满足一类Hrmander型条件的奇异积分算子交换子的有界性

Boundedness for commutator of the singular integral operator satisfying a variant Hrmander's condition

讨论满足一类变形Hrmander条件的奇异积分算子与Lipschitz函数生成交换子的有界性,证明交换子的(Lp,Lq)有界性和(Lp,F.βp,∞)有界性。

The boundedness for the commutator generated by the singular integral operator satisfying a variant Hrmander＇s condition with the Lipschitz function is discussed.Commutator＇s（L^p,L^q） boundedness and（L^p,F^β,∞p） boundedness are proven.