收稿日期: 2013-03-01
修回日期: 2013-04-24
网络出版日期: 2013-11-15
基金资助
Supported by the National Nature Science Foundation of China(10771221,11271162) and Foundation of University of Chinese Academy of Sciences(Y05102AN00)
Sufficient and necessary conditions of (L1, Lq)-boundedness for Hardy operator with power weight
Received date: 2013-03-01
Revised date: 2013-04-24
Online published: 2013-11-15
聂旭东 , 王士模 , 燕敦验 . 加幂权Hardy算子的(L1, Lq)-有界性的充要条件[J]. 中国科学院大学学报, 2013 , 30(6) : 724 -727 . DOI: 10.7523/j.issn.2095-6134.2013.06.002
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.
Key words： Hardy operator; conjugate operator; power weight; endpoint estimates
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[3] Nie X D, Wang S M, Yan D Y. Endpoint estimates for Hardy operator's conjugate operator with power weight on n-dimensional space[J]. Analysis in Theory and Application, 2013, 29(3):267-275.
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