Heat kernel estimates for an operator with a singular drift and isoperimetric inequalities

被引：1
|
作者：
Grigor'yan, Alexander [1 ]
Ouyang, Shunxiang [1 ]
Roeckner, Michael [1 ]
机构：
[1] Univ Bielefeld, Dept Math, D-33501 Bielefeld, Germany
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2018年 / 736卷
关键词：
LOG-CONCAVE; PRODUCTS;
D O I：
10.1515/crelle-2015-0026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper we prove upper and lower bounds of the heat kernel for the operator Delta - del(vertical bar x vertical bar(-alpha) ) . del in R-n \ {0} where alpha > 0. We obtain these bounds from an isoperimetric inequality for a measure e(-vertical bar x vertical bar-alpha) dx on R-n \ {0}. The latter amounts to a certain functional isoperimetric inequality for the radial part of this measure.
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收藏
页码：1 / 31
页数：31
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