奇异积分算子交换子的一个加权估计

A Weighted Estimate for the Commutator of a Homogeneous Singular Integral Operator

本文研究带有齐性核的奇异积分算子与BMO函数的交换子。利用Fourier变换估计 ,在核函数具有某种最弱可积性条件下 ,建立了这种奇异积分算子交换子的一个加权L2

The commutator generated by BMO functions and singular integral operators with homogeneous kernel is studied.A weighted L 2 estimate is established for this kind of commutator