ON ESTIMATES OF POISSON KERNELS FOR SYMMETRIC LEVY PROCESSES

被引：5

作者：

Kang, Jaehoon ^{[1
]}

Kim, Panki ^{[1
,2
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 05期

基金：

新加坡国家研究基金会;

关键词：

symmetric Levy process; subordinate Brownian motion; Green function; Poisson kernel; SUBORDINATE BROWNIAN MOTIONS;

D O I：

10.4134/JKMS.2013.50.5.1009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using elementary calculus only, we give a simple proof that Green function estimates imply the sharp two-sided pointwise estimates for Poisson kernels for subordinate Brownian motions. In particular, by combining the recent result of Kim and Mimica [5], our result provides the sharp two-sided estimates for Poisson kernels for a large class of subordinate Brownian motions including geometric stable processes.

引用

页码：1009 / 1031

页数：23

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