Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian

被引：41
作者：
Bogdan, Krzysztof [1 ]
Sztonyk, Pawel [1 ]
机构：
[1] Wroclaw Univ Technol, Polish Acad Sci, Inst Math, PL-50370 Wroclaw, Poland
来源：
STUDIA MATHEMATICA | 2007年 / 181卷 / 02期
关键词：
potential kernel; Harnack's inequality; relative Kato condition; Green function; stable process;
D O I：
10.4064/sm181-2-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize those homogeneous translation invariant symmetric nonlocal operators with positive maximum principle whose harmonic functions satisfy Harnack's inequality. We also estimate the corresponding semigroup and the potential kernel.
引用
收藏
页码：101 / 123
页数：23
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