Matrix-valued modified logarithmic Sobolev inequality for sub-Laplacian on SU (2)

被引：0

作者：

Gao, Li ^{[1
]}

Gordina, Maria ^{[2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China

[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 287卷 / 02期

关键词：

Logarithmic Sobolev inequality; Sub-Laplacians; SU (2); Quantum Markov semigroup; CURVATURE-DIMENSION INEQUALITIES; HEAT KERNEL INEQUALITIES; HYPERCONTRACTIVITY; SEMIGROUPS; GRADIENT; GENERATORS; BOUNDS;

D O I：

10.1016/j.jfa.2024.110453

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the canonical sub -Laplacian on SU (2) admits a modified log-Sobolev inequality on matrix -valued functions, independent of the matrix sizes. This establishes the first example of a matrix -valued modified log-Sobolev inequality for a sub -Laplacian. We also show that on Lie groups the heat kernel measure p t at time t satisfies matrix -valued modified log-Sobolev inequality with constants in order O ( t - 1 ). (c) 2024 Published by Elsevier Inc.

引用

页数：33

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