DIFFERENTIAL ONE-FORMS ON DIRICHLET SPACES AND BAKRY-EMERY ESTIMATES ON METRIC GRAPHS

被引：17

作者：

Baudoin, Fabrice ^{[1
]}

Kelleher, Daniel J.

机构：

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

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 05期

关键词：

RICCI CURVATURE; HEAT KERNEL; INEQUALITIES; DERIVATIONS; GRADIENT;

D O I：

10.1090/tran/7362

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a general framework on Dirichlet spaces to prove a weak form of the Bakry-Emery estimate and study its consequences. This estimate may be satisfied in situations, like metric graphs, where generalized notions of Ricci curvature lower bounds are not available.

引用

页码：3145 / 3178

页数：34

共 46 条

[41] L-p contraction semigroups for vector valued functions [J].