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.
出处
《中国科学院大学学报（中英文）》
CAS
CSCD
北大核心
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)
关键词
HARDY算子
对偶算子
幂权
端点估计
Hardy operator
conjugate operator
power weight
endpoint estimates
