Corpus ID: 128361660

Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces

@inproceedings{Bae2019HeatKE,
  title={Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces},
  author={Joohak Bae and Jaehoon Kang and Panki Kim and Jaehun Lee},
  year={2019}
}
  • Joohak Bae, Jaehoon Kang, +1 author Jaehun Lee
  • Published 2019
  • Mathematics
  • In this paper, we consider a symmetric pure jump Markov process $X$ on a general metric measure space that satisfies volume doubling conditions. We study estimates of the transition density $p(t,x,y)$ of $X$ and their stabilities when the jumping kernel for $X$ has general mixed polynomial growths. Unlike [24], in our setting, the rate function which gives growth of jumps of $X$ may not be comparable to the scale function which provides the borderline for $p(t,x,y)$ to have either near-diagonal… CONTINUE READING

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