奇异积分交换子的加权Hardy型估计

Weighted Hardy Type Estimates for Commutator of Singular Integrals

T_b表示由加权Lipschitz函数b∈Lip_β(μ)(0<β<1)与Calderon-Zygmund奇异积分算子T生成的交换子.当μ∈A_1,n/(n+β)<p≤1时研究了T_b在经典加权Hardy空间H^p(μ))上的有界性质,在端点p=n/(n+β)处研究了T_b在加权Hardy空间上的弱型估计.

Let T6 denote the commutator generated by Calderon-Zygmund singular operator T and weighted Lipsehitz function b ∈ Lipβ（μ）（0 〈 β 〈 1）. In this paper, we investigate the boundeness of Tb on classical weighted Hardy space HP（μ） when μ ∈ A1 and n/（n ＋ β） 〈 p ≤ 1, the weak type estimate is given at the endpoint p = n/（n ＋ β）.