Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772452 | Journal of Functional Analysis | 2017 | 36 Pages |
Abstract
We are concerned with heat kernel estimates for a non-local Dirichlet form on an Ahlfors regular metric measure space. We use an analytic approach to obtain the full lower stable-like estimate of the heat kernel from the near diagonal lower estimate. Combining with other known results, we obtain certain equivalent conditions for two-sided stable-like estimates of the heat kernel. The results can be simplified in certain cases, for example, when the Dirichlet form admits an effective resistance.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexander Grigor'yan, Eryan Hu, Jiaxin Hu,