多线性分数次积分算子一般框架下的交换子的有界性
摘要
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.
引用本文（GB/T 7714）
Qingying Xue, DeSan XU, JingQuan YAN. 多线性分数次积分算子一般框架下的交换子的有界性[J]. Scientia Sinica Mathematica, 2014.
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