论文标题
抛物线harnack不平等意味着跳跃内核的存在
Parabolic Harnack inequality implies the existence of jump kernel
论文作者
论文摘要
我们证明，抛物线抛物线不平等意味着对称纯跳跃过程的跳跃内核的存在。这使我们能够在最近对抛物线措施的抛物性harnack不平等的表征中删除对跳跃措施的技术假设。我们证明的关键要素是Lévy系统公式和接近diagonal的热核下限。
We prove that the parabolic Harnack inequality implies the existence of jump kernel for symmetric pure jump process. This allows us to remove a technical assumption on the jumping measure in the recent characterization of the parabolic Harnack inequality for pure jump processes by Chen, Kumagai and Wang. The key ingredients of our proof are the Lévy system formula and a near-diagonal heat kernel lower bound.
