Heat kernel estimates for symmetric jump processes with anisotropic jumping kernels

Kang, Jaehoon

doi:10.1090/proc/16103

Heat kernel estimates for symmetric jump processes with anisotropic jumping kernels
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by Jaehoon Kang

Proc. Amer. Math. Soc. 151 (2023), 385-399

DOI: https://doi.org/10.1090/proc/16103

Published electronically: August 18, 2022

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Abstract:

We show two-sided bounds of heat kernel for symmetric pure jump Markov process in $\mathbb {R}^d$ with jumping kernel $J(x,y)$ that is comparable to $\frac {\bbone _{\mathcal {V}}(x-y)}{|x-y|^{d+\alpha }}$, where $\mathcal {V}$ is a union of symmetric cones and $0<\alpha <2$.

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