【摘要】 本文研究向量值奇异积分极大多线性交换子的性质,得到该算子的加权估计及加权弱型估计,作为该估计的推论可知算子T_q,（?）^*在L^p（ω）上有界,其中ω∈A_p。当ω∈A₁时,满足加权L（logL）^1/r型估计。更多还原

【Abstract】 In this paper, the properties of multilinear maximal commutators for vectorvalued singular integrals are considered, and the weighted estimates and weighted weak type estimates are proved. As a corollary, it is deduced that the operator T_{q, b}^* is bounded on L^P（ω） when ω ∈ A_p and admits a corresponding weighted L（log L）^1/r-type estimate with ω ∈A₁.更多还原