Sufficient and necessary conditions of (L1, Lq)-boundedness for Hardy operator with power weight
NIE Xu-Dong1, WANG Shi-Mo2, YAN Dun-Yan1
1 School of Mathematics Science, University of Chinese Academy of Sciences, Beijing 100049, China;
2 School of Mathematics Science, Heilongjiang University, Harbin 150080, China
NIE Xu-Dong, WANG Shi-Mo, YAN Dun-Yan. Sufficient and necessary conditions of (L1, Lq)-boundedness for Hardy operator with power weight[J]. , 2013, 30(6): 724-727.
[1] Hardy G H, Littlewood J E, Póyla G. Inequalities[M]. 2nd ed. Cambridge, UK: Cambridge University Press, 1952.[2] Christ M, Grafakos L. Best constants for two nonconvolution inequalities[J]. Proc Amer Math Soc, 1995, 123: 1687-1693.[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.
