一类Marcinkiewicz积分交换子的加权有界性

Weighted Boundedness of the Commutator of Some Marcinkiewicz Integral

借助于原子Hardy空间理论,利用Marcinkiewicz积分交换子的加权Lp有界性,证明了某种关于核的对数型Lipschitz条件下,带零次齐次核的Marcinkiewicz积分交换子是从H1(Rn)到Ln/(n-β)(Rn)有界的。

Under the suppose of the kernel satisfying the logarithmic type Lipschitz conditions,the boundedness of the commutator of Marcinkiewicz integral with homogeneous kernel of degree zero is obtained from H1ω（Rn） to Ln/（n-β）ωn/（n-β）（Rn）,by the theory of atomic Hardy spaces and the Lp weighted boundedness of the commutator μΩ,b.