Best constants for Hausdorf operators on n-dimensional product spaces  

作　　者：WU XiaoMei CHEN JieCheng 

机构地区：[1]Department of Mathematics, Zhejiang Normal University [2]Department of Mathematics, Zhejiang University

出　　处：《Science China Mathematics》2014年第3期569-578,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11271330 and 10931001);Education Foundation of Zhejiang Province(Grant No.Y201225707);Natural Science Foundation of Zhejiang Province of China(Grant No.Y604563)

摘　　要：In this paper, we study certain Hausdorff operators in the high-dimensional product spaces. We obtain their power weighted boundedness from Lp to Lq and characterize the necessary and sufficient conditions for their boundedness on the power weighted Lp spaces. Moreover, in the case p = q, we obtain the sharp bound constants.In this paper,we study certain Hausdorf operators in the high-dimensional product spaces.We obtain their power weighted boundedness from Lpto Lqand characterize the necessary and sufcient conditions for their boundedness on the power weighted Lpspaces.Moreover,in the case p=q,we obtain the sharp bound constants.

关 键 词：Hausdorff operators Hardy operators product spaces power weights 

分 类 号：O177[理学—数学]