Hardy and Rellich type inequalities on metric measure spaces

Hardy and Rellich type inequalities on metric measure spaces
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度量测度空间上的 Hardy 和 Rellich 型不等式

DOI:
10.1016/j.jmaa.2015.04.021
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发表时间:
2015-09
影响因子:
1.3
通讯作者:
Mao Jing
Mao Jing
中科院分区:
数学3区
文献类型:
--
作者:
Du Feng;Mao Jing

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本文在完备非紧光滑度量测度空间上建立了几个哈代和Rellich型不等式。此外,在哈代和Rellich型不等式的主要结果的基础上,还可以得到Hardy-Poincaré型不等式或Heisenberg-Pauli-Weyl型不等式.
In this paper, some Hardy and Rellich type inequalities on complete non-compact smooth metric measure spaces have been established. Moreover, based on the main results about the Hardy and Rellich type inequalities, several inequalities of the Hardy–Poincaré type or the Heisenberg–Pauli–Weyl type can also be given as byproducts.
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