Is an Orlicz–Poincaré inequality an open ended condition, and what does that mean?
Is an Orlicz–Poincaré inequality an open ended condition, and what does that mean?
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奥尔利兹-庞加莱不等式是开放式条件吗？这意味着什么？
DOI：
10.1016/j.jmaa.2014.09.064
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发表时间：
2015
影响因子：
1.3
通讯作者：
Noel R. DeJarnette
中科院分区：
文献类型：
--
作者：
Noel R. DeJarnette
在[16]中，基思和钟证明了允许Poincaré不等式的空间也允许先验的强Poincaré不等式。我们使用他们的技术，稍加调整，在Orlicz-Poincaré不等式的情况下得到类似的结果。我们在飞机上给出的例子表明，所有的假设是必需的。
In [16], Keith and Zhong prove that spaces admitting Poincaré inequalities also admit a priori stronger Poincaré inequalities. We use their technique, with slight adjustments, to obtain a similar result in the case of Orlicz–Poincaré inequalities. We give examples in the plane that show all hypotheses are required.