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Equivalence between logarithmic Sobolev inequality and hypercontractivity in a probability gage space
Proceedings of the Edinburgh Mathematical Society ( IF 0.7 ) Pub Date : 2020-12-17 , DOI: 10.1017/s0013091520000383 Zhang Lunchuan
Proceedings of the Edinburgh Mathematical Society ( IF 0.7 ) Pub Date : 2020-12-17 , DOI: 10.1017/s0013091520000383 Zhang Lunchuan
In this paper, we prove the equivalence between logarithmic Sobolev inequality and hypercontractivity of a class of quantum Markov semigroup and its associated Dirichlet form based on a probability gage space.
中文翻译:
概率量具空间中对数 Sobolev 不等式与超收缩性的等价性
在本文中,我们证明了基于概率规空间的一类量子马尔可夫半群及其相关的狄利克雷形式的对数Sobolev不等式和超收缩性之间的等价性。
更新日期:2020-12-17
中文翻译:
概率量具空间中对数 Sobolev 不等式与超收缩性的等价性
在本文中,我们证明了基于概率规空间的一类量子马尔可夫半群及其相关的狄利克雷形式的对数Sobolev不等式和超收缩性之间的等价性。