HEAT KERNEL ESTIMATES FOR SYMMETRIC JUMP PROCESSES WITH ANISOTROPIC JUMPING KERNELS

被引：1

作者：

Kang, Jaehoon ^{[1
]}

机构：

[1] Korea Adv Inst Sci & Technol, Stochast Anal & Applicat Res Ctr, 291 Daehak Ro, Daejeon 34141, South Korea

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Symmetric Markov jump process; heat kernel; integro-differential operator; anisotropic jumping kernel; UPPER-BOUNDS; DENSITIES; FORMS;

D O I：

10.1090/proc/16103

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show two-sided bounds of heat kernel for symmetric pure jump Markov process in R-d with jumping kernel J(x, y) that is comparable to 1V(x-y)/vertical bar x-y vertical bar(d+alpha), where V is a union of symmetric cones and 0 < alpha < 2.

引用

页码：385 / 399

页数：15

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