多线性分数次积分算子一般框架下的交换子的有界性

For any given positive integer m , let S be a nite subset of Z + × {1,…, m }, the generalized commutators of multilinear fractional integral operators are de ned by where  = d y 1 … d y m . These commutators de ned above indeed contain almost all the commutators studied before. Moreover, these commutators contain commutators of new form. Under very general framework, we obtain strong ( L p 1 ( ω 1 )× … × L p m ( ω m ), L q ) and weak endpoint estimates for multilinear fractional integral operators with multiple  weights, even with much weaker conditions assumed on the kernels.