Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian
Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian
复制标题
各向异性分数拉普拉斯势核和 Harnack 不等式的估计
DOI：
--
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
Paweł Sztonyk
中科院分区：
文献类型：
--
作者：
K. Bogdan;Paweł Sztonyk
利用正极大值原理刻画了齐次平移不变对称非局域算子，其调和函数满足Harnack不等式。我们还估计了相应的半群和位势核。
We characterize those homogeneous translation invariant symmetric non-local operators with positive maximum principle whose harmonic functions satisfy Harnack’s inequality. We also estimate the corresponding semigroup and the potential kernel.