Equivalence between logarithmic Sobolev inequality and hypercontractivity in a probability gage space

被引：0
作者：
Zhang Lunchuan [1 ]
机构：
[1] Renmin Univ China, Sch Math, Beijing 100086, Peoples R China
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2021年 / 64卷 / 01期
关键词：
Quantum Markov semigroup; Dirichlet form; hypercontractivity; logarithmic Sobolev inequality; COMMUTATION RELATIONS; SEMIGROUPS; CONVEXITY;
D O I：
10.1017/S0013091520000383
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：59 / 71
页数：13
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