| Improved Hardy–Littlewood–Sobolev Inequality on Sn under Constraints |
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| 作者姓名： | Yun Yun HU Jing Bo DOU |
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| 作者单位： | School of Mathematics and Statistics, Shaanxi Normal University |
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| 摘 要： | In this paper, we establish an improved Hardy–Littlewood–Sobolev inequality on Snunder higher-order moments constraint. Moreover, by constructing precise test functions, using improved Hardy–Littlewood–Sobolev inequality on Sn, we show such inequality is almost optimal in critical case.As an application, we give a simpler proof of the existence of the maximizer for conformal Hardy–Littlewood–Sobolev inequality.
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