加幂权Hardy算子的(L^1,L^q)-有界性的充要条件(英文)  

Sufficient and necessary conditions of( L^1,L^q)-boundedness for Hardy operator with power weight

作　　者：聂旭东[1] 王士模[2] 燕敦验[1] 

机构地区：[1]中国科学院大学数学科学学院,北京100049 [2]黑龙江大学数学科学学院,哈尔滨150080

出　　处：《中国科学院大学学报（中英文）》2013年第6期724-727,共4页Journal of University of Chinese Academy of Sciences

基　　金：Supported by the National Nature Science Foundation of China(10771221,11271162);Foundation of University of Chinese Academy of Sciences(Y05102AN00)

摘　　要：分别得到使得n维空间上Hardy算子Hn及其对偶算子H*n,从L1|x|α(Rn)到Lq|x|β(Rn)(1≤q<∞)有界的关于α和β所需满足的充分必要条件.We characterize the sufficient and necessary conditions with respect to α and β which make the Hardy operator Hn and the Hardy operator＇s conjugate operator Hn＊ be bounded from L｜x｜α1（Rn） to L｜x｜βq（ R n） with 1≤q〈∞ in n-dimensional Euclidean spaces, respectively.

关 键 词：HARDY算子 对偶算子 幂权 端点估计 

分 类 号：O174.1[理学—数学]