Hardy and Rellich type inequalities on complete manifolds

Hardy and Rellich type inequalities on complete manifolds
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DOI:
10.1016/j.jmaa.2013.06.070
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发表时间:
2014
影响因子:
1.3
通讯作者:
C. Xia
C. Xia
中科院分区:
数学3区
文献类型:
--
作者:
C. Xia

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证明了完备非紧黎曼流形上的几个哈代型不等式和Rellich型不等式,其中权函数与欧氏空间中的距离函数相距不远.
We prove some Hardy and Rellich type inequalities on complete noncompact Riemannian manifolds supporting a weight function which is not very far from the distance function in the Euclidean space.