具有某类L^δ-(logL)^ρ核函数的Marcinkiewicz积分交换子的双权估计

Double Weighted Estimates for the Commutator of Marcinkiewicz Integral with Some L^δ-(logL)^ρ Kernel

本文证明核函数满足Lδ-(logL)ρ条件的Marcinkiewicz积分μΩ与加权Lipschitz函数b生成的交换子μΩ,b具有(Hp(ω),Lq(ω1-q))和(Hn/n+β(ω),L1,∞)有界性。

In this paper, we obtain that the commutator μΩ,b generated by Marcinkiewicz integral μΩ with Lδ-(logL)ρ kernel and weighted Lipschitz function b, has (Hp(ω),Lq(ω1-q)) and (Hn/n+β(ω),L1,∞) boundedness.