多线性Calderón-Zygmund算子的加权有界性(英文)  

Weighted Estimates for Multilinear Calderón-Zygmund Operators

作　　者：吴强[1] 

机构地区：[1]北京师范大学数学系,北京100875

出　　处：《数学进展》2004年第3期333-342,共10页Advances in Mathematics（China）

基　　金：This project is supported by the Sate Education Department Foundation of China(No.20010027002)

摘　　要：建立了多线性Calderon-Zygmund算子在比幂权空间更一般的Herz空间和Herz型Hardy空间上的有界性。作为推论,得到了该算子的幂权估计,在这些幂权估计中,权指标可以突破A_p权的指标限制,显示出和经典Calderon-Zygmund算子本质的区别。In this paper, the boundness of multilinear Calderon-Zygmund operators on Herz spaces and Herz-type Hardy spaces is established and the power weighted estimates are given as corollaries. In these estimates, the indices of the power weights may exceed the region of the A. weights, which is essentially different from the classical Calderon-Zygmund operators.

关 键 词：多线性Calderón-Zygmund算子 幂权 HERZ空间 HARDY空间 中心原子 

分 类 号：O177.6[理学—数学]