【摘要】 研究了反双倍空间上的一类非光滑核的广义多线性Calderón-Zygmund算子,所谓反双倍空间是指齐型空间赋予一个满足反双倍条件的双倍测度.利用Calderón-Zygmund分解和多线性插值,得到这个算子的强型估计和端点的弱型估计,也得到尖锐极大函数作用于这个算子的点态估计,随即获得了它的多权有界性.更多还原

【Abstract】 We study the generalized multilinear Calderón- Zygmund operators with non- smooth kernel,whose kernels satisfy regularity conditions significantly weaker than those of the standard Calderón- Zygmund kernels,on the RD- spaces which arespaces of homogeneous type equipped with doubling measures satisfying a reverse doubling condition. The endpoint estimates and strong type estimates for this operator are obtained by Calderón- Zygmund decomposition and multilinear interpolation. And the pointwise estimate for sharp function acting on the generalized Calderón- Zygmund operators are be established.As a consequence,the multiple- weighted boundedness of them are valid.更多还原