柯西积分交换子的有界性

The Boundedness of the Cauchy Type Commutator

本文研究了柯西积分交换子在Carleson曲线上的Lebesgue空间的性质,此结果有助于得到一些奇异积分方程解的适定性.利用Sharp极大函数,Kolmogorov's不等式,Hlder不等式,本文建立了柯西积分交换子[a,S_τ](f)在Lebesgue空间的有界性,这里α∈∧_β.

In this paper, the properties of the Lebesgue space of the Cauchy type commutator on Carleson curves are studied. This result is helpful to obtain the wellposedness of some singular integral equations. Using the Sharp maximal function,Kolmogorov's inequality, Hlder inequality, the authors establish the boundedness of the Cauchy type commutator [a,S_τ](f) on Lebesgue space, here α∈∧_β.