Two-sided estimates of heat kernels of jump type Dirichlet forms

被引：31

作者：

Grigor'yan, Alexander ^{[1
,2
,3
]}

Hu, Eryan ^{[3
,4
]}

Hu, Jiaxin ^{[5
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin, Peoples R China

[2] Nankai Univ, LPMC, Tianjin, Peoples R China

[3] Univ Bielefeld, Fak Math, Bielefeld, Germany

[4] Tianjin Univ, Ctr Appl Math, Tianjin, Peoples R China

[5] Tsinghua Univ, Dept Math Sci, Beijing, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2018年 / 330卷

关键词：

Heat kernel; Jump-type Dirichlet form; Fractal; Stable-like process; BROWNIAN-MOTION; UPPER-BOUNDS; INEQUALITIES;

D O I：

10.1016/j.aim.2018.03.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove necessary and sufficient conditions for stable-like estimates of the heat kernel for jump type Dirichlet forms on metric measure spaces. The conditions are given in terms of the volume growth function, jump kernel and a generalized capacity. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：433 / 515

页数：83

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