A dual characterization of length spaces with application to Dirichlet metric spaces

被引：21

作者：

Stollmann, Peter ^{[1
]}

机构：

[1] Tech Univ, Fak Math, D-09107 Chemnitz, Germany

来源：

STUDIA MATHEMATICA | 2010年 / 198卷 / 03期

关键词：

metric spaces; length metric; Dirichlet forms; VECTOR-FIELDS; HEAT KERNEL; FORMS; THEOREM;

D O I：

10.4064/sm198-3-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that under minimal assumptions, the intrinsic metric induced by a strongly local Dirichlet form induces a length space. The main input is a dual characterization of length spaces in terms of the property that the 1-Lipschitz functions form a sheaf.

引用

页码：221 / 233

页数：13

共 31 条

[1]

[Anonymous], 1970, ANN MATH STUD

[2] DIRICHLET SPACES [J].