Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups

Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups
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DOI:
10.1016/j.jfa.2006.10.007
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发表时间:
2007-02-01
影响因子:
1.7
通讯作者:
Zegarlinski, B.
Zegarlinski, B.
中科院分区:
数学1区
文献类型:
--
作者:
Roberto, C.;Zegarlinski, B.

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我们研究强制不等式在Orlicz空间与概率措施的有限维和无限维空间的尾巴衰减慢于高斯的。我们提供了这类不等式成立的充分必要条件,并讨论了各类不等式之间的关系。(c)2006年爱思唯尔公司All rights reserved.
We study coercive inequalities in Orlicz spaces associated to the probability measures on finite- and infinite-dimensional spaces which tails decay slower than the Gaussian ones. We provide necessary and sufficient criteria for such inequalities to hold and discuss relations between various classes of inequalities. (c) 2006 Elsevier Inc. All rights reserved.