Heat kernels of non-symmetric jump processes with exponentially decaying jumping kernel. (English) Zbl 1481.60147
Summary: In this paper we study the transition densities for a large class of non-symmetric Markov processes whose jumping kernels decay exponentially or subexponentially. We obtain their upper bounds which also decay at the same rate as their jumping kernels. When the lower bounds of jumping kernels satisfy the weak upper scaling condition at zero, we also establish lower bounds for the transition densities, which are sharp.
MSC:
| 60J35 | Transition functions, generators and resolvents |
| 60J76 | Jump processes on general state spaces |
Keywords:
heat kernel estimates; unimodal Lévy process; non-symmetric operator; non-symmetric Markov processReferences:
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