WEIGHTED ESTIMATES FOR MULTIVARIATE HAUSDORFF OPERATORS  

作　　者：Yanling Sun Yinsheng Jiang 

机构地区：[1]Xinjiang University, China

出　　处：《Analysis in Theory and Applications》2012年第3期278-285,共8页分析理论与应用（英文刊）

基　　金：Supported by NNSF of China (10861010,11161044)

摘　　要：In this paper, some weighted estimates for the multivariate Hausdorff operators are obtained. It is proved that the multivariate Hausdorff operators are bounded on LP spaces with power weights, which is based on the boundedness of multivariate Hausdorff operators on Herz spaces, and are bounded on weighted LP spaces with the weights satisfying the homogeneity of degree zero.In this paper, some weighted estimates for the multivariate Hausdorff operators are obtained. It is proved that the multivariate Hausdorff operators are bounded on LP spaces with power weights, which is based on the boundedness of multivariate Hausdorff operators on Herz spaces, and are bounded on weighted LP spaces with the weights satisfying the homogeneity of degree zero.

关 键 词：multivariate Hausdorff operator weighted Lp space Herz space 

分 类 号：O177.6[理学—数学] O175.5[理学—基础数学]