Potential theory for Green functions of Schrodinger-type operators

被引：1
|
作者：
Takeda, Masayoshi [1 ]
机构：
[1] Kansai Univ, Fac Engn Sci, Dept Math, 3-3-35 Yamate Cho, Suita, Osaka 5648680, Japan
来源：
STUDIA MATHEMATICA | 2020年 / 250卷 / 02期
基金：
日本学术振兴会;
关键词：
Dirichlet form; Schrodinger form; symmetric Hunt process; maximum principle; continuity principle;
D O I：
10.4064/sm171220-6-11
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A potential theory for Green kernels of Schrodinger-type operators is considered. We give a condition for the Green kernel to satisfy Ugaheri's maximum principle in terms of the bottom of the spectrum of the time-changed process. The condition also leads to the continuity principle. For the proofs, we use probabilistic arguments, in particular, the strong Markov property and strong Feller property.
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页码：109 / 127
页数：19
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