Poincaré inequality for abstract spaces
Poincaré inequality for abstract spaces
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抽象空间的庞加莱不等式
DOI：
10.1017/s000497270003817x
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发表时间：
2005
影响因子：
0.7
通讯作者：
Alireza Ranjbar
中科院分区：
文献类型：
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作者：
Alireza Ranjbar
庞加莱不等式被推广到度量测度空间，它支持一个强版本的加倍条件。这将Poincaré不等式推广到Ricci曲率有下界的流形和满足测度收缩性质的度量测度空间。
The Poincaré inequality is generalised to metric-measure spaces which support a strong version of the doubling condition. This generalises the Poincaré inequality for manifolds whose Ricci curvature is bounded from below and metric-measure spaces which satisfy the measure contraction property.